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Finding the Fourth Proportional to 206,739.97, 285,332.39 and 126,214.45

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Solution

The fourth proportional to 206,739.97, 285,332.39 and 126,214.45 is: 174,195.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,739.97 : 285,332.39 = 126,214.45 : x
  2. Step 2: Convert to fraction form
    206,739.97/285,332.39 = 126,214.45/x
  3. Step 3: Cross multiply
    206,739.97x = 285,332.39 × 126,214.45
  4. Step 4: Simplify right side
    206,739.97x = 36,013,070,671.04
  5. Step 5: Solve for x
    x = 36,013,070,671.04/206,739.97
  6. Step 6: Final answer
    x = 174,195.01

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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.