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Finding the Fourth Proportional to 75,322.97, 112,905.61 and 25,385.79

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Solution

The fourth proportional to 75,322.97, 112,905.61 and 25,385.79 is: 38,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322.97 : 112,905.61 = 25,385.79 : x
  2. Step 2: Convert to fraction form
    75,322.97/112,905.61 = 25,385.79/x
  3. Step 3: Cross multiply
    75,322.97x = 112,905.61 × 25,385.79
  4. Step 4: Simplify right side
    75,322.97x = 2,866,197,978.35
  5. Step 5: Solve for x
    x = 2,866,197,978.35/75,322.97
  6. Step 6: Final answer
    x = 38,052.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.