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Finding the Fourth Proportional to 129,773.86, 194,660.43 and 31,277.86

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Solution

The fourth proportional to 129,773.86, 194,660.43 and 31,277.86 is: 46,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,773.86 : 194,660.43 = 31,277.86 : x
  2. Step 2: Convert to fraction form
    129,773.86/194,660.43 = 31,277.86/x
  3. Step 3: Cross multiply
    129,773.86x = 194,660.43 × 31,277.86
  4. Step 4: Simplify right side
    129,773.86x = 6,088,561,677.08
  5. Step 5: Solve for x
    x = 6,088,561,677.08/129,773.86
  6. Step 6: Final answer
    x = 46,916.70

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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.