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Finding the Fourth Proportional to 206,544.59, 309,831.74 and 86,480.72

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Solution

The fourth proportional to 206,544.59, 309,831.74 and 86,480.72 is: 129,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,544.59 : 309,831.74 = 86,480.72 : x
  2. Step 2: Convert to fraction form
    206,544.59/309,831.74 = 86,480.72/x
  3. Step 3: Cross multiply
    206,544.59x = 309,831.74 × 86,480.72
  4. Step 4: Simplify right side
    206,544.59x = 26,794,471,521.65
  5. Step 5: Solve for x
    x = 26,794,471,521.65/206,544.59
  6. Step 6: Final answer
    x = 129,727.30

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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.