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Finding the Fourth Proportional to 138,719.80, 208,079.70 and 75,734.20

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Solution

The fourth proportional to 138,719.80, 208,079.70 and 75,734.20 is: 113,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,719.80 : 208,079.70 = 75,734.20 : x
  2. Step 2: Convert to fraction form
    138,719.80/208,079.70 = 75,734.20/x
  3. Step 3: Cross multiply
    138,719.80x = 208,079.70 × 75,734.20
  4. Step 4: Simplify right side
    138,719.80x = 15,758,749,615.74
  5. Step 5: Solve for x
    x = 15,758,749,615.74/138,719.80
  6. Step 6: Final answer
    x = 113,601.30

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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.