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Finding the Fourth Proportional to 138,957.97, 191,756.86 and 75,294.40

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Solution

The fourth proportional to 138,957.97, 191,756.86 and 75,294.40 is: 103,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,957.97 : 191,756.86 = 75,294.40 : x
  2. Step 2: Convert to fraction form
    138,957.97/191,756.86 = 75,294.40/x
  3. Step 3: Cross multiply
    138,957.97x = 191,756.86 × 75,294.40
  4. Step 4: Simplify right side
    138,957.97x = 14,438,217,719.58
  5. Step 5: Solve for x
    x = 14,438,217,719.58/138,957.97
  6. Step 6: Final answer
    x = 103,903.49

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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.