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Finding the Fourth Proportional to 137,782, 206,480.46 and 74,465.62

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Solution

The fourth proportional to 137,782, 206,480.46 and 74,465.62 is: 111,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,782 : 206,480.46 = 74,465.62 : x
  2. Step 2: Convert to fraction form
    137,782/206,480.46 = 74,465.62/x
  3. Step 3: Cross multiply
    137,782x = 206,480.46 × 74,465.62
  4. Step 4: Simplify right side
    137,782x = 15,375,695,471.79
  5. Step 5: Solve for x
    x = 15,375,695,471.79/137,782
  6. Step 6: Final answer
    x = 111,594.37

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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.