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Finding the Fourth Proportional to 87,782.40, 131,522.40 and 40,939.20

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Solution

The fourth proportional to 87,782.40, 131,522.40 and 40,939.20 is: 61,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,782.40 : 131,522.40 = 40,939.20 : x
  2. Step 2: Convert to fraction form
    87,782.40/131,522.40 = 40,939.20/x
  3. Step 3: Cross multiply
    87,782.40x = 131,522.40 × 40,939.20
  4. Step 4: Simplify right side
    87,782.40x = 5,384,421,838.08
  5. Step 5: Solve for x
    x = 5,384,421,838.08/87,782.40
  6. Step 6: Final answer
    x = 61,338.28

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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.