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Finding the Fourth Proportional to 47,723.70, 71,614.80 and 19,657.20

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Solution

The fourth proportional to 47,723.70, 71,614.80 and 19,657.20 is: 29,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,723.70 : 71,614.80 = 19,657.20 : x
  2. Step 2: Convert to fraction form
    47,723.70/71,614.80 = 19,657.20/x
  3. Step 3: Cross multiply
    47,723.70x = 71,614.80 × 19,657.20
  4. Step 4: Simplify right side
    47,723.70x = 1,407,746,446.56
  5. Step 5: Solve for x
    x = 1,407,746,446.56/47,723.70
  6. Step 6: Final answer
    x = 29,497.85

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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.