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Finding the Fourth Proportional to 71,470.88, 98,630.58 and 39,641.82

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Solution

The fourth proportional to 71,470.88, 98,630.58 and 39,641.82 is: 54,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,470.88 : 98,630.58 = 39,641.82 : x
  2. Step 2: Convert to fraction form
    71,470.88/98,630.58 = 39,641.82/x
  3. Step 3: Cross multiply
    71,470.88x = 98,630.58 × 39,641.82
  4. Step 4: Simplify right side
    71,470.88x = 3,909,895,698.86
  5. Step 5: Solve for x
    x = 3,909,895,698.86/71,470.88
  6. Step 6: Final answer
    x = 54,706.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.