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Finding the Fourth Proportional to 87,129.90, 130,522.05 and 51,965.10

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Solution

The fourth proportional to 87,129.90, 130,522.05 and 51,965.10 is: 77,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,129.90 : 130,522.05 = 51,965.10 : x
  2. Step 2: Convert to fraction form
    87,129.90/130,522.05 = 51,965.10/x
  3. Step 3: Cross multiply
    87,129.90x = 130,522.05 × 51,965.10
  4. Step 4: Simplify right side
    87,129.90x = 6,782,591,380.46
  5. Step 5: Solve for x
    x = 6,782,591,380.46/87,129.90
  6. Step 6: Final answer
    x = 77,844.59

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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.