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Finding the Fourth Proportional to 206,272.95, 309,497.64 and 86,357.91

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Solution

The fourth proportional to 206,272.95, 309,497.64 and 86,357.91 is: 129,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,272.95 : 309,497.64 = 86,357.91 : x
  2. Step 2: Convert to fraction form
    206,272.95/309,497.64 = 86,357.91/x
  3. Step 3: Cross multiply
    206,272.95x = 309,497.64 × 86,357.91
  4. Step 4: Simplify right side
    206,272.95x = 26,727,569,340.33
  5. Step 5: Solve for x
    x = 26,727,569,340.33/206,272.95
  6. Step 6: Final answer
    x = 129,573.80

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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.