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Finding the Fourth Proportional to 87,651, 120,983.20 and 51,853.46

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Solution

The fourth proportional to 87,651, 120,983.20 and 51,853.46 is: 71,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,651 : 120,983.20 = 51,853.46 : x
  2. Step 2: Convert to fraction form
    87,651/120,983.20 = 51,853.46/x
  3. Step 3: Cross multiply
    87,651x = 120,983.20 × 51,853.46
  4. Step 4: Simplify right side
    87,651x = 6,273,397,521.87
  5. Step 5: Solve for x
    x = 6,273,397,521.87/87,651
  6. Step 6: Final answer
    x = 71,572.46

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1.5x scale

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.