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Finding the Fourth Proportional to 87,071.32, 120,165.42 and 49,348

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Solution

The fourth proportional to 87,071.32, 120,165.42 and 49,348 is: 68,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,071.32 : 120,165.42 = 49,348 : x
  2. Step 2: Convert to fraction form
    87,071.32/120,165.42 = 49,348/x
  3. Step 3: Cross multiply
    87,071.32x = 120,165.42 × 49,348
  4. Step 4: Simplify right side
    87,071.32x = 5,929,923,146.16
  5. Step 5: Solve for x
    x = 5,929,923,146.16/87,071.32
  6. Step 6: Final answer
    x = 68,104.21

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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.