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Finding the Fourth Proportional to 217,731.60, 326,635.62 and 99,414.90

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Solution

The fourth proportional to 217,731.60, 326,635.62 and 99,414.90 is: 149,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,731.60 : 326,635.62 = 99,414.90 : x
  2. Step 2: Convert to fraction form
    217,731.60/326,635.62 = 99,414.90/x
  3. Step 3: Cross multiply
    217,731.60x = 326,635.62 × 99,414.90
  4. Step 4: Simplify right side
    217,731.60x = 32,472,447,498.74
  5. Step 5: Solve for x
    x = 32,472,447,498.74/217,731.60
  6. Step 6: Final answer
    x = 149,139.80

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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.