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Finding the Fourth Proportional to 281,471.68, 422,242.32 and 91,951.12

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Solution

The fourth proportional to 281,471.68, 422,242.32 and 91,951.12 is: 137,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,471.68 : 422,242.32 = 91,951.12 : x
  2. Step 2: Convert to fraction form
    281,471.68/422,242.32 = 91,951.12/x
  3. Step 3: Cross multiply
    281,471.68x = 422,242.32 × 91,951.12
  4. Step 4: Simplify right side
    281,471.68x = 38,825,654,235.40
  5. Step 5: Solve for x
    x = 38,825,654,235.40/281,471.68
  6. Step 6: Final answer
    x = 137,938.05

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1.5x scale

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.