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Finding the Fourth Proportional to 83,082.76, 123,988.29 and 74,218.12

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Solution

The fourth proportional to 83,082.76, 123,988.29 and 74,218.12 is: 110,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.76 : 123,988.29 = 74,218.12 : x
  2. Step 2: Convert to fraction form
    83,082.76/123,988.29 = 74,218.12/x
  3. Step 3: Cross multiply
    83,082.76x = 123,988.29 × 74,218.12
  4. Step 4: Simplify right side
    83,082.76x = 9,202,177,785.81
  5. Step 5: Solve for x
    x = 9,202,177,785.81/83,082.76
  6. Step 6: Final answer
    x = 110,759.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.