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Finding the Fourth Proportional to 138,854.73, 191,619.21 and 75,193.05

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Solution

The fourth proportional to 138,854.73, 191,619.21 and 75,193.05 is: 103,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,854.73 : 191,619.21 = 75,193.05 : x
  2. Step 2: Convert to fraction form
    138,854.73/191,619.21 = 75,193.05/x
  3. Step 3: Cross multiply
    138,854.73x = 191,619.21 × 75,193.05
  4. Step 4: Simplify right side
    138,854.73x = 14,408,432,838.49
  5. Step 5: Solve for x
    x = 14,408,432,838.49/138,854.73
  6. Step 6: Final answer
    x = 103,766.24

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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.