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Finding the Fourth Proportional to 276,761.33, 415,142.40 and 77,082.29

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Solution

The fourth proportional to 276,761.33, 415,142.40 and 77,082.29 is: 115,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,761.33 : 415,142.40 = 77,082.29 : x
  2. Step 2: Convert to fraction form
    276,761.33/415,142.40 = 77,082.29/x
  3. Step 3: Cross multiply
    276,761.33x = 415,142.40 × 77,082.29
  4. Step 4: Simplify right side
    276,761.33x = 32,000,126,868.10
  5. Step 5: Solve for x
    x = 32,000,126,868.10/276,761.33
  6. Step 6: Final answer
    x = 115,623.55

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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.