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Finding the Fourth Proportional to 71,678.78, 107,531.10 and 29,535.83

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Solution

The fourth proportional to 71,678.78, 107,531.10 and 29,535.83 is: 44,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,678.78 : 107,531.10 = 29,535.83 : x
  2. Step 2: Convert to fraction form
    71,678.78/107,531.10 = 29,535.83/x
  3. Step 3: Cross multiply
    71,678.78x = 107,531.10 × 29,535.83
  4. Step 4: Simplify right side
    71,678.78x = 3,176,019,751.66
  5. Step 5: Solve for x
    x = 3,176,019,751.66/71,678.78
  6. Step 6: Final answer
    x = 44,309.07

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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.