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Finding the Fourth Proportional to 276,169.07, 381,034.71 and 165,742.86

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Solution

The fourth proportional to 276,169.07, 381,034.71 and 165,742.86 is: 228,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,169.07 : 381,034.71 = 165,742.86 : x
  2. Step 2: Convert to fraction form
    276,169.07/381,034.71 = 165,742.86/x
  3. Step 3: Cross multiply
    276,169.07x = 381,034.71 × 165,742.86
  4. Step 4: Simplify right side
    276,169.07x = 63,153,781,414.08
  5. Step 5: Solve for x
    x = 63,153,781,414.08/276,169.07
  6. Step 6: Final answer
    x = 228,677.97

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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.