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Finding the Fourth Proportional to 280,689.70, 421,034.55 and 81,016.60

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Solution

The fourth proportional to 280,689.70, 421,034.55 and 81,016.60 is: 121,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,689.70 : 421,034.55 = 81,016.60 : x
  2. Step 2: Convert to fraction form
    280,689.70/421,034.55 = 81,016.60/x
  3. Step 3: Cross multiply
    280,689.70x = 421,034.55 × 81,016.60
  4. Step 4: Simplify right side
    280,689.70x = 34,110,787,723.53
  5. Step 5: Solve for x
    x = 34,110,787,723.53/280,689.70
  6. Step 6: Final answer
    x = 121,524.90

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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.