Home / 205,822.80-284,048.64-115,189.20

Finding the Fourth Proportional to 205,822.80, 284,048.64 and 115,189.20

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Solution

The fourth proportional to 205,822.80, 284,048.64 and 115,189.20 is: 158,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,822.80 : 284,048.64 = 115,189.20 : x
  2. Step 2: Convert to fraction form
    205,822.80/284,048.64 = 115,189.20/x
  3. Step 3: Cross multiply
    205,822.80x = 284,048.64 × 115,189.20
  4. Step 4: Simplify right side
    205,822.80x = 32,719,335,602.69
  5. Step 5: Solve for x
    x = 32,719,335,602.69/205,822.80
  6. Step 6: Final answer
    x = 158,968.47

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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.