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Finding the Fourth Proportional to 211,781.92, 317,711.76 and 69,635.20

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Solution

The fourth proportional to 211,781.92, 317,711.76 and 69,635.20 is: 104,465.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,781.92 : 317,711.76 = 69,635.20 : x
  2. Step 2: Convert to fraction form
    211,781.92/317,711.76 = 69,635.20/x
  3. Step 3: Cross multiply
    211,781.92x = 317,711.76 × 69,635.20
  4. Step 4: Simplify right side
    211,781.92x = 22,123,921,949.95
  5. Step 5: Solve for x
    x = 22,123,921,949.95/211,781.92
  6. Step 6: Final answer
    x = 104,465.58

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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.