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Finding the Fourth Proportional to 206,391.84, 284,831.28 and 115,766.88

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Solution

The fourth proportional to 206,391.84, 284,831.28 and 115,766.88 is: 159,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,391.84 : 284,831.28 = 115,766.88 : x
  2. Step 2: Convert to fraction form
    206,391.84/284,831.28 = 115,766.88/x
  3. Step 3: Cross multiply
    206,391.84x = 284,831.28 × 115,766.88
  4. Step 4: Simplify right side
    206,391.84x = 32,974,028,612.01
  5. Step 5: Solve for x
    x = 32,974,028,612.01/206,391.84
  6. Step 6: Final answer
    x = 159,764.21

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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.