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Finding the Fourth Proportional to 138,677.69, 191,375.25 and 78,261.14

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Solution

The fourth proportional to 138,677.69, 191,375.25 and 78,261.14 is: 108,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,677.69 : 191,375.25 = 78,261.14 : x
  2. Step 2: Convert to fraction form
    138,677.69/191,375.25 = 78,261.14/x
  3. Step 3: Cross multiply
    138,677.69x = 191,375.25 × 78,261.14
  4. Step 4: Simplify right side
    138,677.69x = 14,977,245,232.79
  5. Step 5: Solve for x
    x = 14,977,245,232.79/138,677.69
  6. Step 6: Final answer
    x = 108,000.39

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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.