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Finding the Fourth Proportional to 80,507.68, 120,761.52 and 25,108

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Solution

The fourth proportional to 80,507.68, 120,761.52 and 25,108 is: 37,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,507.68 : 120,761.52 = 25,108 : x
  2. Step 2: Convert to fraction form
    80,507.68/120,761.52 = 25,108/x
  3. Step 3: Cross multiply
    80,507.68x = 120,761.52 × 25,108
  4. Step 4: Simplify right side
    80,507.68x = 3,032,080,244.16
  5. Step 5: Solve for x
    x = 3,032,080,244.16/80,507.68
  6. Step 6: Final answer
    x = 37,662.00

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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.