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Finding the Fourth Proportional to 206,655.11, 285,318.54 and 126,129.32

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Solution

The fourth proportional to 206,655.11, 285,318.54 and 126,129.32 is: 174,140.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,655.11 : 285,318.54 = 126,129.32 : x
  2. Step 2: Convert to fraction form
    206,655.11/285,318.54 = 126,129.32/x
  3. Step 3: Cross multiply
    206,655.11x = 285,318.54 × 126,129.32
  4. Step 4: Simplify right side
    206,655.11x = 35,987,033,433.59
  5. Step 5: Solve for x
    x = 35,987,033,433.59/206,655.11
  6. Step 6: Final answer
    x = 174,140.54

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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.