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Finding the Fourth Proportional to 123,403.78, 185,105.67 and 29,909.53

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Solution

The fourth proportional to 123,403.78, 185,105.67 and 29,909.53 is: 44,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,403.78 : 185,105.67 = 29,909.53 : x
  2. Step 2: Convert to fraction form
    123,403.78/185,105.67 = 29,909.53/x
  3. Step 3: Cross multiply
    123,403.78x = 185,105.67 × 29,909.53
  4. Step 4: Simplify right side
    123,403.78x = 5,536,423,590.04
  5. Step 5: Solve for x
    x = 5,536,423,590.04/123,403.78
  6. Step 6: Final answer
    x = 44,864.30

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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.