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Finding the Fourth Proportional to 138,673.80, 191,348.46 and 78,239.70

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Solution

The fourth proportional to 138,673.80, 191,348.46 and 78,239.70 is: 107,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,673.80 : 191,348.46 = 78,239.70 : x
  2. Step 2: Convert to fraction form
    138,673.80/191,348.46 = 78,239.70/x
  3. Step 3: Cross multiply
    138,673.80x = 191,348.46 × 78,239.70
  4. Step 4: Simplify right side
    138,673.80x = 14,971,046,105.86
  5. Step 5: Solve for x
    x = 14,971,046,105.86/138,673.80
  6. Step 6: Final answer
    x = 107,958.72

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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.