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Finding the Fourth Proportional to 100,082.88, 138,065.76 and 66,104.64

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Solution

The fourth proportional to 100,082.88, 138,065.76 and 66,104.64 is: 91,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,082.88 : 138,065.76 = 66,104.64 : x
  2. Step 2: Convert to fraction form
    100,082.88/138,065.76 = 66,104.64/x
  3. Step 3: Cross multiply
    100,082.88x = 138,065.76 × 66,104.64
  4. Step 4: Simplify right side
    100,082.88x = 9,126,787,361.13
  5. Step 5: Solve for x
    x = 9,126,787,361.13/100,082.88
  6. Step 6: Final answer
    x = 91,192.29

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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.