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Finding the Fourth Proportional to 80,770, 121,156.10 and 25,366

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Solution

The fourth proportional to 80,770, 121,156.10 and 25,366 is: 38,049.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,770 : 121,156.10 = 25,366 : x
  2. Step 2: Convert to fraction form
    80,770/121,156.10 = 25,366/x
  3. Step 3: Cross multiply
    80,770x = 121,156.10 × 25,366
  4. Step 4: Simplify right side
    80,770x = 3,073,245,632.60
  5. Step 5: Solve for x
    x = 3,073,245,632.60/80,770
  6. Step 6: Final answer
    x = 38,049.35

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