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Finding the Fourth Proportional to 87,178.32, 130,755 and 28,006.20

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Solution

The fourth proportional to 87,178.32, 130,755 and 28,006.20 is: 42,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,178.32 : 130,755 = 28,006.20 : x
  2. Step 2: Convert to fraction form
    87,178.32/130,755 = 28,006.20/x
  3. Step 3: Cross multiply
    87,178.32x = 130,755 × 28,006.20
  4. Step 4: Simplify right side
    87,178.32x = 3,661,950,681
  5. Step 5: Solve for x
    x = 3,661,950,681/87,178.32
  6. Step 6: Final answer
    x = 42,005.29

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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.