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Finding the Fourth Proportional to 87,857.68, 121,152.98 and 75,152.92

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Solution

The fourth proportional to 87,857.68, 121,152.98 and 75,152.92 is: 103,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,857.68 : 121,152.98 = 75,152.92 : x
  2. Step 2: Convert to fraction form
    87,857.68/121,152.98 = 75,152.92/x
  3. Step 3: Cross multiply
    87,857.68x = 121,152.98 × 75,152.92
  4. Step 4: Simplify right side
    87,857.68x = 9,104,999,837.94
  5. Step 5: Solve for x
    x = 9,104,999,837.94/87,857.68
  6. Step 6: Final answer
    x = 103,633.51

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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.