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Finding the Fourth Proportional to 206,729.29, 285,268.90 and 125,087.95

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Solution

The fourth proportional to 206,729.29, 285,268.90 and 125,087.95 is: 172,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,729.29 : 285,268.90 = 125,087.95 : x
  2. Step 2: Convert to fraction form
    206,729.29/285,268.90 = 125,087.95/x
  3. Step 3: Cross multiply
    206,729.29x = 285,268.90 × 125,087.95
  4. Step 4: Simplify right side
    206,729.29x = 35,683,701,899.76
  5. Step 5: Solve for x
    x = 35,683,701,899.76/206,729.29
  6. Step 6: Final answer
    x = 172,610.77

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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.