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Finding the Fourth Proportional to 197,520.96, 296,215.65 and 85,131

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Solution

The fourth proportional to 197,520.96, 296,215.65 and 85,131 is: 127,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,520.96 : 296,215.65 = 85,131 : x
  2. Step 2: Convert to fraction form
    197,520.96/296,215.65 = 85,131/x
  3. Step 3: Cross multiply
    197,520.96x = 296,215.65 × 85,131
  4. Step 4: Simplify right side
    197,520.96x = 25,217,134,500.15
  5. Step 5: Solve for x
    x = 25,217,134,500.15/197,520.96
  6. Step 6: Final answer
    x = 127,668.14

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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.