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Finding the Fourth Proportional to 87,536, 120,800 and 47,792

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Solution

The fourth proportional to 87,536, 120,800 and 47,792 is: 65,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,536 : 120,800 = 47,792 : x
  2. Step 2: Convert to fraction form
    87,536/120,800 = 47,792/x
  3. Step 3: Cross multiply
    87,536x = 120,800 × 47,792
  4. Step 4: Simplify right side
    87,536x = 5,773,273,600
  5. Step 5: Solve for x
    x = 5,773,273,600/87,536
  6. Step 6: Final answer
    x = 65,953.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.