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Finding the Fourth Proportional to 123,487.78, 185,238.90 and 34,748.20

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Solution

The fourth proportional to 123,487.78, 185,238.90 and 34,748.20 is: 52,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,487.78 : 185,238.90 = 34,748.20 : x
  2. Step 2: Convert to fraction form
    123,487.78/185,238.90 = 34,748.20/x
  3. Step 3: Cross multiply
    123,487.78x = 185,238.90 × 34,748.20
  4. Step 4: Simplify right side
    123,487.78x = 6,436,718,344.98
  5. Step 5: Solve for x
    x = 6,436,718,344.98/123,487.78
  6. Step 6: Final answer
    x = 52,124.33

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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.