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Finding the Fourth Proportional to 138,713.16, 191,422.80 and 75,049.56

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Solution

The fourth proportional to 138,713.16, 191,422.80 and 75,049.56 is: 103,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,713.16 : 191,422.80 = 75,049.56 : x
  2. Step 2: Convert to fraction form
    138,713.16/191,422.80 = 75,049.56/x
  3. Step 3: Cross multiply
    138,713.16x = 191,422.80 × 75,049.56
  4. Step 4: Simplify right side
    138,713.16x = 14,366,196,913.97
  5. Step 5: Solve for x
    x = 14,366,196,913.97/138,713.16
  6. Step 6: Final answer
    x = 103,567.66

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1.5x scale

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.