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Finding the Fourth Proportional to 138,797.52, 191,539.68 and 75,133.92

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Solution

The fourth proportional to 138,797.52, 191,539.68 and 75,133.92 is: 103,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,797.52 : 191,539.68 = 75,133.92 : x
  2. Step 2: Convert to fraction form
    138,797.52/191,539.68 = 75,133.92/x
  3. Step 3: Cross multiply
    138,797.52x = 191,539.68 × 75,133.92
  4. Step 4: Simplify right side
    138,797.52x = 14,391,126,993.95
  5. Step 5: Solve for x
    x = 14,391,126,993.95/138,797.52
  6. Step 6: Final answer
    x = 103,684.32

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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.