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Finding the Fourth Proportional to 100,836.43, 138,854.14 and 98,598.74

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Solution

The fourth proportional to 100,836.43, 138,854.14 and 98,598.74 is: 135,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,836.43 : 138,854.14 = 98,598.74 : x
  2. Step 2: Convert to fraction form
    100,836.43/138,854.14 = 98,598.74/x
  3. Step 3: Cross multiply
    100,836.43x = 138,854.14 × 98,598.74
  4. Step 4: Simplify right side
    100,836.43x = 13,690,842,307.02
  5. Step 5: Solve for x
    x = 13,690,842,307.02/100,836.43
  6. Step 6: Final answer
    x = 135,772.78

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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.