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Finding the Fourth Proportional to 87,038, 120,112.76 and 47,294

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Solution

The fourth proportional to 87,038, 120,112.76 and 47,294 is: 65,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,038 : 120,112.76 = 47,294 : x
  2. Step 2: Convert to fraction form
    87,038/120,112.76 = 47,294/x
  3. Step 3: Cross multiply
    87,038x = 120,112.76 × 47,294
  4. Step 4: Simplify right side
    87,038x = 5,680,612,871.44
  5. Step 5: Solve for x
    x = 5,680,612,871.44/87,038
  6. Step 6: Final answer
    x = 65,265.89

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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.