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Finding the Fourth Proportional to 69,001.92, 103,470.12 and 31,550.88

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Solution

The fourth proportional to 69,001.92, 103,470.12 and 31,550.88 is: 47,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,001.92 : 103,470.12 = 31,550.88 : x
  2. Step 2: Convert to fraction form
    69,001.92/103,470.12 = 31,550.88/x
  3. Step 3: Cross multiply
    69,001.92x = 103,470.12 × 31,550.88
  4. Step 4: Simplify right side
    69,001.92x = 3,264,573,339.71
  5. Step 5: Solve for x
    x = 3,264,573,339.71/69,001.92
  6. Step 6: Final answer
    x = 47,311.34

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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.