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Finding the Fourth Proportional to 98,119.10, 147,180 and 27,998.40

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Solution

The fourth proportional to 98,119.10, 147,180 and 27,998.40 is: 41,997.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,119.10 : 147,180 = 27,998.40 : x
  2. Step 2: Convert to fraction form
    98,119.10/147,180 = 27,998.40/x
  3. Step 3: Cross multiply
    98,119.10x = 147,180 × 27,998.40
  4. Step 4: Simplify right side
    98,119.10x = 4,120,804,512
  5. Step 5: Solve for x
    x = 4,120,804,512/98,119.10
  6. Step 6: Final answer
    x = 41,997.99

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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.