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Finding the Fourth Proportional to 77,381.88, 115,923.34 and 57,082.87

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Solution

The fourth proportional to 77,381.88, 115,923.34 and 57,082.87 is: 85,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,381.88 : 115,923.34 = 57,082.87 : x
  2. Step 2: Convert to fraction form
    77,381.88/115,923.34 = 57,082.87/x
  3. Step 3: Cross multiply
    77,381.88x = 115,923.34 × 57,082.87
  4. Step 4: Simplify right side
    77,381.88x = 6,617,236,947.19
  5. Step 5: Solve for x
    x = 6,617,236,947.19/77,381.88
  6. Step 6: Final answer
    x = 85,514.04

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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.