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Finding the Fourth Proportional to 138,993.09, 191,811.41 and 75,331.95

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Solution

The fourth proportional to 138,993.09, 191,811.41 and 75,331.95 is: 103,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,993.09 : 191,811.41 = 75,331.95 : x
  2. Step 2: Convert to fraction form
    138,993.09/191,811.41 = 75,331.95/x
  3. Step 3: Cross multiply
    138,993.09x = 191,811.41 × 75,331.95
  4. Step 4: Simplify right side
    138,993.09x = 14,449,527,547.55
  5. Step 5: Solve for x
    x = 14,449,527,547.55/138,993.09
  6. Step 6: Final answer
    x = 103,958.60

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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.