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Finding the Fourth Proportional to 123,500.80, 185,233.92 and 40,384

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Solution

The fourth proportional to 123,500.80, 185,233.92 and 40,384 is: 60,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,500.80 : 185,233.92 = 40,384 : x
  2. Step 2: Convert to fraction form
    123,500.80/185,233.92 = 40,384/x
  3. Step 3: Cross multiply
    123,500.80x = 185,233.92 × 40,384
  4. Step 4: Simplify right side
    123,500.80x = 7,480,486,625.28
  5. Step 5: Solve for x
    x = 7,480,486,625.28/123,500.80
  6. Step 6: Final answer
    x = 60,570.35

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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.