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Finding the Fourth Proportional to 47,881.60, 71,854.80 and 21,572.80

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Solution

The fourth proportional to 47,881.60, 71,854.80 and 21,572.80 is: 32,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881.60 : 71,854.80 = 21,572.80 : x
  2. Step 2: Convert to fraction form
    47,881.60/71,854.80 = 21,572.80/x
  3. Step 3: Cross multiply
    47,881.60x = 71,854.80 × 21,572.80
  4. Step 4: Simplify right side
    47,881.60x = 1,550,109,229.44
  5. Step 5: Solve for x
    x = 1,550,109,229.44/47,881.60
  6. Step 6: Final answer
    x = 32,373.80

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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.