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Finding the Fourth Proportional to 87,586, 120,868.67 and 47,299.76

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Solution

The fourth proportional to 87,586, 120,868.67 and 47,299.76 is: 65,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,586 : 120,868.67 = 47,299.76 : x
  2. Step 2: Convert to fraction form
    87,586/120,868.67 = 47,299.76/x
  3. Step 3: Cross multiply
    87,586x = 120,868.67 × 47,299.76
  4. Step 4: Simplify right side
    87,586x = 5,717,059,082.52
  5. Step 5: Solve for x
    x = 5,717,059,082.52/87,586
  6. Step 6: Final answer
    x = 65,273.66

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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.