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Finding the Fourth Proportional to 137,766.40, 206,452.48 and 78,479.68

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Solution

The fourth proportional to 137,766.40, 206,452.48 and 78,479.68 is: 117,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,766.40 : 206,452.48 = 78,479.68 : x
  2. Step 2: Convert to fraction form
    137,766.40/206,452.48 = 78,479.68/x
  3. Step 3: Cross multiply
    137,766.40x = 206,452.48 × 78,479.68
  4. Step 4: Simplify right side
    137,766.40x = 16,202,324,565.61
  5. Step 5: Solve for x
    x = 16,202,324,565.61/137,766.40
  6. Step 6: Final answer
    x = 117,607.23

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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.