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Finding the Fourth Proportional to 87,539, 120,803.82 and 47,795

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Solution

The fourth proportional to 87,539, 120,803.82 and 47,795 is: 65,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,539 : 120,803.82 = 47,795 : x
  2. Step 2: Convert to fraction form
    87,539/120,803.82 = 47,795/x
  3. Step 3: Cross multiply
    87,539x = 120,803.82 × 47,795
  4. Step 4: Simplify right side
    87,539x = 5,773,818,576.90
  5. Step 5: Solve for x
    x = 5,773,818,576.90/87,539
  6. Step 6: Final answer
    x = 65,957.10

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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.