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Finding the Fourth Proportional to 100,613.70, 138,708.14 and 80,264.80

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Solution

The fourth proportional to 100,613.70, 138,708.14 and 80,264.80 is: 110,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.70 : 138,708.14 = 80,264.80 : x
  2. Step 2: Convert to fraction form
    100,613.70/138,708.14 = 80,264.80/x
  3. Step 3: Cross multiply
    100,613.70x = 138,708.14 × 80,264.80
  4. Step 4: Simplify right side
    100,613.70x = 11,133,380,887.53
  5. Step 5: Solve for x
    x = 11,133,380,887.53/100,613.70
  6. Step 6: Final answer
    x = 110,654.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.