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Finding the Fourth Proportional to 172,831.80, 259,247.70 and 137,839.80

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Solution

The fourth proportional to 172,831.80, 259,247.70 and 137,839.80 is: 206,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,831.80 : 259,247.70 = 137,839.80 : x
  2. Step 2: Convert to fraction form
    172,831.80/259,247.70 = 137,839.80/x
  3. Step 3: Cross multiply
    172,831.80x = 259,247.70 × 137,839.80
  4. Step 4: Simplify right side
    172,831.80x = 35,734,651,118.46
  5. Step 5: Solve for x
    x = 35,734,651,118.46/172,831.80
  6. Step 6: Final answer
    x = 206,759.70

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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.