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Finding the Fourth Proportional to 138,085.20, 206,974.20 and 75,800.40

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Solution

The fourth proportional to 138,085.20, 206,974.20 and 75,800.40 is: 113,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,085.20 : 206,974.20 = 75,800.40 : x
  2. Step 2: Convert to fraction form
    138,085.20/206,974.20 = 75,800.40/x
  3. Step 3: Cross multiply
    138,085.20x = 206,974.20 × 75,800.40
  4. Step 4: Simplify right side
    138,085.20x = 15,688,727,149.68
  5. Step 5: Solve for x
    x = 15,688,727,149.68/138,085.20
  6. Step 6: Final answer
    x = 113,616.28

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1.5x scale

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.