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Finding the Fourth Proportional to 87,986.38, 131,978.20 and 21,426.40

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Solution

The fourth proportional to 87,986.38, 131,978.20 and 21,426.40 is: 32,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,986.38 : 131,978.20 = 21,426.40 : x
  2. Step 2: Convert to fraction form
    87,986.38/131,978.20 = 21,426.40/x
  3. Step 3: Cross multiply
    87,986.38x = 131,978.20 × 21,426.40
  4. Step 4: Simplify right side
    87,986.38x = 2,827,817,704.48
  5. Step 5: Solve for x
    x = 2,827,817,704.48/87,986.38
  6. Step 6: Final answer
    x = 32,139.27

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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.