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Finding the Fourth Proportional to 87,384, 131,076 and 28,269.12

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Solution

The fourth proportional to 87,384, 131,076 and 28,269.12 is: 42,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,384 : 131,076 = 28,269.12 : x
  2. Step 2: Convert to fraction form
    87,384/131,076 = 28,269.12/x
  3. Step 3: Cross multiply
    87,384x = 131,076 × 28,269.12
  4. Step 4: Simplify right side
    87,384x = 3,705,403,173.12
  5. Step 5: Solve for x
    x = 3,705,403,173.12/87,384
  6. Step 6: Final answer
    x = 42,403.68

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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.