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Finding the Fourth Proportional to 71,308.20, 98,421.84 and 47,435.88

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Solution

The fourth proportional to 71,308.20, 98,421.84 and 47,435.88 is: 65,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,308.20 : 98,421.84 = 47,435.88 : x
  2. Step 2: Convert to fraction form
    71,308.20/98,421.84 = 47,435.88/x
  3. Step 3: Cross multiply
    71,308.20x = 98,421.84 × 47,435.88
  4. Step 4: Simplify right side
    71,308.20x = 4,668,726,591.62
  5. Step 5: Solve for x
    x = 4,668,726,591.62/71,308.20
  6. Step 6: Final answer
    x = 65,472.51

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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.