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Finding the Fourth Proportional to 215,152.96, 296,906.86 and 119,657.61

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Solution

The fourth proportional to 215,152.96, 296,906.86 and 119,657.61 is: 165,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,152.96 : 296,906.86 = 119,657.61 : x
  2. Step 2: Convert to fraction form
    215,152.96/296,906.86 = 119,657.61/x
  3. Step 3: Cross multiply
    215,152.96x = 296,906.86 × 119,657.61
  4. Step 4: Simplify right side
    215,152.96x = 35,527,165,260.20
  5. Step 5: Solve for x
    x = 35,527,165,260.20/215,152.96
  6. Step 6: Final answer
    x = 165,125.15

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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.