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Finding the Fourth Proportional to 48,472.80, 72,709.20 and 47,781.60

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Solution

The fourth proportional to 48,472.80, 72,709.20 and 47,781.60 is: 71,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,472.80 : 72,709.20 = 47,781.60 : x
  2. Step 2: Convert to fraction form
    48,472.80/72,709.20 = 47,781.60/x
  3. Step 3: Cross multiply
    48,472.80x = 72,709.20 × 47,781.60
  4. Step 4: Simplify right side
    48,472.80x = 3,474,161,910.72
  5. Step 5: Solve for x
    x = 3,474,161,910.72/48,472.80
  6. Step 6: Final answer
    x = 71,672.40

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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.