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Finding the Fourth Proportional to 206,689.89, 285,263.22 and 126,164.10

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Solution

The fourth proportional to 206,689.89, 285,263.22 and 126,164.10 is: 174,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,689.89 : 285,263.22 = 126,164.10 : x
  2. Step 2: Convert to fraction form
    206,689.89/285,263.22 = 126,164.10/x
  3. Step 3: Cross multiply
    206,689.89x = 285,263.22 × 126,164.10
  4. Step 4: Simplify right side
    206,689.89x = 35,989,976,642.98
  5. Step 5: Solve for x
    x = 35,989,976,642.98/206,689.89
  6. Step 6: Final answer
    x = 174,125.48

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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.