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Finding the Fourth Proportional to 100,641.92, 138,893.10 and 60,354.95

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Solution

The fourth proportional to 100,641.92, 138,893.10 and 60,354.95 is: 83,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,641.92 : 138,893.10 = 60,354.95 : x
  2. Step 2: Convert to fraction form
    100,641.92/138,893.10 = 60,354.95/x
  3. Step 3: Cross multiply
    100,641.92x = 138,893.10 × 60,354.95
  4. Step 4: Simplify right side
    100,641.92x = 8,382,885,411.38
  5. Step 5: Solve for x
    x = 8,382,885,411.38/100,641.92
  6. Step 6: Final answer
    x = 83,294.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.