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Finding the Fourth Proportional to 98,118.78, 147,178.31 and 27,998.09

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Solution

The fourth proportional to 98,118.78, 147,178.31 and 27,998.09 is: 41,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,118.78 : 147,178.31 = 27,998.09 : x
  2. Step 2: Convert to fraction form
    98,118.78/147,178.31 = 27,998.09/x
  3. Step 3: Cross multiply
    98,118.78x = 147,178.31 × 27,998.09
  4. Step 4: Simplify right side
    98,118.78x = 4,120,711,569.43
  5. Step 5: Solve for x
    x = 4,120,711,569.43/98,118.78
  6. Step 6: Final answer
    x = 41,997.17

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.