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Finding the Fourth Proportional to 138,998.52, 191,812.77 and 75,334.95

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Solution

The fourth proportional to 138,998.52, 191,812.77 and 75,334.95 is: 103,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,998.52 : 191,812.77 = 75,334.95 : x
  2. Step 2: Convert to fraction form
    138,998.52/191,812.77 = 75,334.95/x
  3. Step 3: Cross multiply
    138,998.52x = 191,812.77 × 75,334.95
  4. Step 4: Simplify right side
    138,998.52x = 14,450,205,437.31
  5. Step 5: Solve for x
    x = 14,450,205,437.31/138,998.52
  6. Step 6: Final answer
    x = 103,959.42

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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.