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Finding the Fourth Proportional to 87,286.21, 120,460.13 and 65,737.95

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Solution

The fourth proportional to 87,286.21, 120,460.13 and 65,737.95 is: 90,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,286.21 : 120,460.13 = 65,737.95 : x
  2. Step 2: Convert to fraction form
    87,286.21/120,460.13 = 65,737.95/x
  3. Step 3: Cross multiply
    87,286.21x = 120,460.13 × 65,737.95
  4. Step 4: Simplify right side
    87,286.21x = 7,918,802,002.93
  5. Step 5: Solve for x
    x = 7,918,802,002.93/87,286.21
  6. Step 6: Final answer
    x = 90,722.26

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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.