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Finding the Fourth Proportional to 87,978.24, 121,429.80 and 73,806.48

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Solution

The fourth proportional to 87,978.24, 121,429.80 and 73,806.48 is: 101,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,978.24 : 121,429.80 = 73,806.48 : x
  2. Step 2: Convert to fraction form
    87,978.24/121,429.80 = 73,806.48/x
  3. Step 3: Cross multiply
    87,978.24x = 121,429.80 × 73,806.48
  4. Step 4: Simplify right side
    87,978.24x = 8,962,306,105.10
  5. Step 5: Solve for x
    x = 8,962,306,105.10/87,978.24
  6. Step 6: Final answer
    x = 101,869.58

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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.