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Finding the Fourth Proportional to 205,456.61, 308,254.14 and 129,466.90

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Solution

The fourth proportional to 205,456.61, 308,254.14 and 129,466.90 is: 194,243.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,456.61 : 308,254.14 = 129,466.90 : x
  2. Step 2: Convert to fraction form
    205,456.61/308,254.14 = 129,466.90/x
  3. Step 3: Cross multiply
    205,456.61x = 308,254.14 × 129,466.90
  4. Step 4: Simplify right side
    205,456.61x = 39,908,707,147.33
  5. Step 5: Solve for x
    x = 39,908,707,147.33/205,456.61
  6. Step 6: Final answer
    x = 194,243.97

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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.