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Finding the Fourth Proportional to 189,654.60, 261,730.84 and 109,082

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Solution

The fourth proportional to 189,654.60, 261,730.84 and 109,082 is: 150,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,654.60 : 261,730.84 = 109,082 : x
  2. Step 2: Convert to fraction form
    189,654.60/261,730.84 = 109,082/x
  3. Step 3: Cross multiply
    189,654.60x = 261,730.84 × 109,082
  4. Step 4: Simplify right side
    189,654.60x = 28,550,123,488.88
  5. Step 5: Solve for x
    x = 28,550,123,488.88/189,654.60
  6. Step 6: Final answer
    x = 150,537.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.