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Finding the Fourth Proportional to 87,295.26, 131,000.28 and 47,880

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Solution

The fourth proportional to 87,295.26, 131,000.28 and 47,880 is: 71,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,295.26 : 131,000.28 = 47,880 : x
  2. Step 2: Convert to fraction form
    87,295.26/131,000.28 = 47,880/x
  3. Step 3: Cross multiply
    87,295.26x = 131,000.28 × 47,880
  4. Step 4: Simplify right side
    87,295.26x = 6,272,293,406.40
  5. Step 5: Solve for x
    x = 6,272,293,406.40/87,295.26
  6. Step 6: Final answer
    x = 71,851.48

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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.