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Finding the Fourth Proportional to 87,265, 120,426.98 and 47,521

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Solution

The fourth proportional to 87,265, 120,426.98 and 47,521 is: 65,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,265 : 120,426.98 = 47,521 : x
  2. Step 2: Convert to fraction form
    87,265/120,426.98 = 47,521/x
  3. Step 3: Cross multiply
    87,265x = 120,426.98 × 47,521
  4. Step 4: Simplify right side
    87,265x = 5,722,810,516.58
  5. Step 5: Solve for x
    x = 5,722,810,516.58/87,265
  6. Step 6: Final answer
    x = 65,579.68

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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.