Home / 205,815.36-284,017.44-116,393.28

Finding the Fourth Proportional to 205,815.36, 284,017.44 and 116,393.28

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Solution

The fourth proportional to 205,815.36, 284,017.44 and 116,393.28 is: 160,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,815.36 : 284,017.44 = 116,393.28 : x
  2. Step 2: Convert to fraction form
    205,815.36/284,017.44 = 116,393.28/x
  3. Step 3: Cross multiply
    205,815.36x = 284,017.44 × 116,393.28
  4. Step 4: Simplify right side
    205,815.36x = 33,057,721,418.80
  5. Step 5: Solve for x
    x = 33,057,721,418.80/205,815.36
  6. Step 6: Final answer
    x = 160,618.34

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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.