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Finding the Fourth Proportional to 215,143.92, 296,906.76 and 119,657.46

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Solution

The fourth proportional to 215,143.92, 296,906.76 and 119,657.46 is: 165,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,143.92 : 296,906.76 = 119,657.46 : x
  2. Step 2: Convert to fraction form
    215,143.92/296,906.76 = 119,657.46/x
  3. Step 3: Cross multiply
    215,143.92x = 296,906.76 × 119,657.46
  4. Step 4: Simplify right side
    215,143.92x = 35,527,108,758.43
  5. Step 5: Solve for x
    x = 35,527,108,758.43/215,143.92
  6. Step 6: Final answer
    x = 165,131.83

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1.5x scale

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.