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Finding the Fourth Proportional to 141,049.74, 194,648.82 and 77,387.79

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Solution

The fourth proportional to 141,049.74, 194,648.82 and 77,387.79 is: 106,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,049.74 : 194,648.82 = 77,387.79 : x
  2. Step 2: Convert to fraction form
    141,049.74/194,648.82 = 77,387.79/x
  3. Step 3: Cross multiply
    141,049.74x = 194,648.82 × 77,387.79
  4. Step 4: Simplify right side
    141,049.74x = 15,063,442,005.91
  5. Step 5: Solve for x
    x = 15,063,442,005.91/141,049.74
  6. Step 6: Final answer
    x = 106,795.25

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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.