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Finding the Fourth Proportional to 138,672.96, 191,377.71 and 78,221.54

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Solution

The fourth proportional to 138,672.96, 191,377.71 and 78,221.54 is: 107,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,672.96 : 191,377.71 = 78,221.54 : x
  2. Step 2: Convert to fraction form
    138,672.96/191,377.71 = 78,221.54/x
  3. Step 3: Cross multiply
    138,672.96x = 191,377.71 × 78,221.54
  4. Step 4: Simplify right side
    138,672.96x = 14,969,859,197.87
  5. Step 5: Solve for x
    x = 14,969,859,197.87/138,672.96
  6. Step 6: Final answer
    x = 107,950.82

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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.