Home / 205,825.80-284,052.78-115,192.20

Finding the Fourth Proportional to 205,825.80, 284,052.78 and 115,192.20

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Solution

The fourth proportional to 205,825.80, 284,052.78 and 115,192.20 is: 158,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,825.80 : 284,052.78 = 115,192.20 : x
  2. Step 2: Convert to fraction form
    205,825.80/284,052.78 = 115,192.20/x
  3. Step 3: Cross multiply
    205,825.80x = 284,052.78 × 115,192.20
  4. Step 4: Simplify right side
    205,825.80x = 32,720,664,644.32
  5. Step 5: Solve for x
    x = 32,720,664,644.32/205,825.80
  6. Step 6: Final answer
    x = 158,972.61

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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.