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Finding the Fourth Proportional to 185,680, 278,475.18 and 85,744.12

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Solution

The fourth proportional to 185,680, 278,475.18 and 85,744.12 is: 128,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,680 : 278,475.18 = 85,744.12 : x
  2. Step 2: Convert to fraction form
    185,680/278,475.18 = 85,744.12/x
  3. Step 3: Cross multiply
    185,680x = 278,475.18 × 85,744.12
  4. Step 4: Simplify right side
    185,680x = 23,877,609,250.94
  5. Step 5: Solve for x
    x = 23,877,609,250.94/185,680
  6. Step 6: Final answer
    x = 128,595.48

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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.