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Finding the Fourth Proportional to 205,611.29, 308,421.17 and 63,456.65

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Solution

The fourth proportional to 205,611.29, 308,421.17 and 63,456.65 is: 95,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,611.29 : 308,421.17 = 63,456.65 : x
  2. Step 2: Convert to fraction form
    205,611.29/308,421.17 = 63,456.65/x
  3. Step 3: Cross multiply
    205,611.29x = 308,421.17 × 63,456.65
  4. Step 4: Simplify right side
    205,611.29x = 19,571,375,461.13
  5. Step 5: Solve for x
    x = 19,571,375,461.13/205,611.29
  6. Step 6: Final answer
    x = 95,186.29

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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.