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Finding the Fourth Proportional to 138,679.67, 191,377.79 and 75,017.31

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Solution

The fourth proportional to 138,679.67, 191,377.79 and 75,017.31 is: 103,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,679.67 : 191,377.79 = 75,017.31 : x
  2. Step 2: Convert to fraction form
    138,679.67/191,377.79 = 75,017.31/x
  3. Step 3: Cross multiply
    138,679.67x = 191,377.79 × 75,017.31
  4. Step 4: Simplify right side
    138,679.67x = 14,356,646,999.54
  5. Step 5: Solve for x
    x = 14,356,646,999.54/138,679.67
  6. Step 6: Final answer
    x = 103,523.80

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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.