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Finding the Fourth Proportional to 87,642.81, 120,937.46 and 53,659.87

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Solution

The fourth proportional to 87,642.81, 120,937.46 and 53,659.87 is: 74,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,642.81 : 120,937.46 = 53,659.87 : x
  2. Step 2: Convert to fraction form
    87,642.81/120,937.46 = 53,659.87/x
  3. Step 3: Cross multiply
    87,642.81x = 120,937.46 × 53,659.87
  4. Step 4: Simplify right side
    87,642.81x = 6,489,487,811.09
  5. Step 5: Solve for x
    x = 6,489,487,811.09/87,642.81
  6. Step 6: Final answer
    x = 74,044.73

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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.