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Finding the Fourth Proportional to 138,436.97, 207,667.17 and 38,597.25

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Solution

The fourth proportional to 138,436.97, 207,667.17 and 38,597.25 is: 57,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,436.97 : 207,667.17 = 38,597.25 : x
  2. Step 2: Convert to fraction form
    138,436.97/207,667.17 = 38,597.25/x
  3. Step 3: Cross multiply
    138,436.97x = 207,667.17 × 38,597.25
  4. Step 4: Simplify right side
    138,436.97x = 8,015,381,484.30
  5. Step 5: Solve for x
    x = 8,015,381,484.30/138,436.97
  6. Step 6: Final answer
    x = 57,899.14

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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.