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Finding the Fourth Proportional to 87,686.76, 120,978.12 and 49,934.28

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Solution

The fourth proportional to 87,686.76, 120,978.12 and 49,934.28 is: 68,892.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,686.76 : 120,978.12 = 49,934.28 : x
  2. Step 2: Convert to fraction form
    87,686.76/120,978.12 = 49,934.28/x
  3. Step 3: Cross multiply
    87,686.76x = 120,978.12 × 49,934.28
  4. Step 4: Simplify right side
    87,686.76x = 6,040,955,317.95
  5. Step 5: Solve for x
    x = 6,040,955,317.95/87,686.76
  6. Step 6: Final answer
    x = 68,892.45

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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.