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Finding the Fourth Proportional to 138,603.46, 207,905.87 and 38,764.02

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Solution

The fourth proportional to 138,603.46, 207,905.87 and 38,764.02 is: 58,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,603.46 : 207,905.87 = 38,764.02 : x
  2. Step 2: Convert to fraction form
    138,603.46/207,905.87 = 38,764.02/x
  3. Step 3: Cross multiply
    138,603.46x = 207,905.87 × 38,764.02
  4. Step 4: Simplify right side
    138,603.46x = 8,059,267,302.80
  5. Step 5: Solve for x
    x = 8,059,267,302.80/138,603.46
  6. Step 6: Final answer
    x = 58,146.22

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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.