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Finding the Fourth Proportional to 189,690.59, 284,452.70 and 71,278.79

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Solution

The fourth proportional to 189,690.59, 284,452.70 and 71,278.79 is: 106,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,690.59 : 284,452.70 = 71,278.79 : x
  2. Step 2: Convert to fraction form
    189,690.59/284,452.70 = 71,278.79/x
  3. Step 3: Cross multiply
    189,690.59x = 284,452.70 × 71,278.79
  4. Step 4: Simplify right side
    189,690.59x = 20,275,442,489.58
  5. Step 5: Solve for x
    x = 20,275,442,489.58/189,690.59
  6. Step 6: Final answer
    x = 106,886.92

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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.