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Finding the Fourth Proportional to 138,955.40, 191,753.31 and 75,291.83

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Solution

The fourth proportional to 138,955.40, 191,753.31 and 75,291.83 is: 103,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,955.40 : 191,753.31 = 75,291.83 : x
  2. Step 2: Convert to fraction form
    138,955.40/191,753.31 = 75,291.83/x
  3. Step 3: Cross multiply
    138,955.40x = 191,753.31 × 75,291.83
  4. Step 4: Simplify right side
    138,955.40x = 14,437,456,659.69
  5. Step 5: Solve for x
    x = 14,437,456,659.69/138,955.40
  6. Step 6: Final answer
    x = 103,899.94

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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.