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Finding the Fourth Proportional to 137,979.30, 206,859.60 and 75,649.80

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Solution

The fourth proportional to 137,979.30, 206,859.60 and 75,649.80 is: 113,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,979.30 : 206,859.60 = 75,649.80 : x
  2. Step 2: Convert to fraction form
    137,979.30/206,859.60 = 75,649.80/x
  3. Step 3: Cross multiply
    137,979.30x = 206,859.60 × 75,649.80
  4. Step 4: Simplify right side
    137,979.30x = 15,648,887,368.08
  5. Step 5: Solve for x
    x = 15,648,887,368.08/137,979.30
  6. Step 6: Final answer
    x = 113,414.75

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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.