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Finding the Fourth Proportional to 87,498, 120,747.24 and 47,754

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Solution

The fourth proportional to 87,498, 120,747.24 and 47,754 is: 65,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,498 : 120,747.24 = 47,754 : x
  2. Step 2: Convert to fraction form
    87,498/120,747.24 = 47,754/x
  3. Step 3: Cross multiply
    87,498x = 120,747.24 × 47,754
  4. Step 4: Simplify right side
    87,498x = 5,766,163,698.96
  5. Step 5: Solve for x
    x = 5,766,163,698.96/87,498
  6. Step 6: Final answer
    x = 65,900.52

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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.