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Finding the Fourth Proportional to 80,761.96, 121,158.06 and 25,345

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Solution

The fourth proportional to 80,761.96, 121,158.06 and 25,345 is: 38,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,761.96 : 121,158.06 = 25,345 : x
  2. Step 2: Convert to fraction form
    80,761.96/121,158.06 = 25,345/x
  3. Step 3: Cross multiply
    80,761.96x = 121,158.06 × 25,345
  4. Step 4: Simplify right side
    80,761.96x = 3,070,751,030.70
  5. Step 5: Solve for x
    x = 3,070,751,030.70/80,761.96
  6. Step 6: Final answer
    x = 38,022.25

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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.