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Finding the Fourth Proportional to 138,089.88, 206,689.32 and 71,438.22

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Solution

The fourth proportional to 138,089.88, 206,689.32 and 71,438.22 is: 106,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,089.88 : 206,689.32 = 71,438.22 : x
  2. Step 2: Convert to fraction form
    138,089.88/206,689.32 = 71,438.22/x
  3. Step 3: Cross multiply
    138,089.88x = 206,689.32 × 71,438.22
  4. Step 4: Simplify right side
    138,089.88x = 14,765,517,113.81
  5. Step 5: Solve for x
    x = 14,765,517,113.81/138,089.88
  6. Step 6: Final answer
    x = 106,926.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.