Home / 205,954.56-284,151.24-115,297.20

Finding the Fourth Proportional to 205,954.56, 284,151.24 and 115,297.20

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Solution

The fourth proportional to 205,954.56, 284,151.24 and 115,297.20 is: 159,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,954.56 : 284,151.24 = 115,297.20 : x
  2. Step 2: Convert to fraction form
    205,954.56/284,151.24 = 115,297.20/x
  3. Step 3: Cross multiply
    205,954.56x = 284,151.24 × 115,297.20
  4. Step 4: Simplify right side
    205,954.56x = 32,761,842,348.53
  5. Step 5: Solve for x
    x = 32,761,842,348.53/205,954.56
  6. Step 6: Final answer
    x = 159,073.16

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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.