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Finding the Fourth Proportional to 87,633.42, 120,934.17 and 47,347.17

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Solution

The fourth proportional to 87,633.42, 120,934.17 and 47,347.17 is: 65,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,633.42 : 120,934.17 = 47,347.17 : x
  2. Step 2: Convert to fraction form
    87,633.42/120,934.17 = 47,347.17/x
  3. Step 3: Cross multiply
    87,633.42x = 120,934.17 × 47,347.17
  4. Step 4: Simplify right side
    87,633.42x = 5,725,890,705.80
  5. Step 5: Solve for x
    x = 5,725,890,705.80/87,633.42
  6. Step 6: Final answer
    x = 65,339.12

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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.