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Finding the Fourth Proportional to 342,134.67, 472,126.85 and 189,163.92

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Solution

The fourth proportional to 342,134.67, 472,126.85 and 189,163.92 is: 261,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,134.67 : 472,126.85 = 189,163.92 : x
  2. Step 2: Convert to fraction form
    342,134.67/472,126.85 = 189,163.92/x
  3. Step 3: Cross multiply
    342,134.67x = 472,126.85 × 189,163.92
  4. Step 4: Simplify right side
    342,134.67x = 89,309,364,737.43
  5. Step 5: Solve for x
    x = 89,309,364,737.43/342,134.67
  6. Step 6: Final answer
    x = 261,035.70

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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.