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Finding the Fourth Proportional to 98,580.30, 147,997.57 and 84,629.97

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Solution

The fourth proportional to 98,580.30, 147,997.57 and 84,629.97 is: 127,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,580.30 : 147,997.57 = 84,629.97 : x
  2. Step 2: Convert to fraction form
    98,580.30/147,997.57 = 84,629.97/x
  3. Step 3: Cross multiply
    98,580.30x = 147,997.57 × 84,629.97
  4. Step 4: Simplify right side
    98,580.30x = 12,525,029,909.17
  5. Step 5: Solve for x
    x = 12,525,029,909.17/98,580.30
  6. Step 6: Final answer
    x = 127,054.09

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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.