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Finding the Fourth Proportional to 142,550.46, 213,873.17 and 47,790

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Solution

The fourth proportional to 142,550.46, 213,873.17 and 47,790 is: 71,700.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,550.46 : 213,873.17 = 47,790 : x
  2. Step 2: Convert to fraction form
    142,550.46/213,873.17 = 47,790/x
  3. Step 3: Cross multiply
    142,550.46x = 213,873.17 × 47,790
  4. Step 4: Simplify right side
    142,550.46x = 10,220,998,794.30
  5. Step 5: Solve for x
    x = 10,220,998,794.30/142,550.46
  6. Step 6: Final answer
    x = 71,700.92

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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.