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Finding the Fourth Proportional to 205,969.39, 284,229.88 and 115,316.88

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Solution

The fourth proportional to 205,969.39, 284,229.88 and 115,316.88 is: 159,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,969.39 : 284,229.88 = 115,316.88 : x
  2. Step 2: Convert to fraction form
    205,969.39/284,229.88 = 115,316.88/x
  3. Step 3: Cross multiply
    205,969.39x = 284,229.88 × 115,316.88
  4. Step 4: Simplify right side
    205,969.39x = 32,776,502,964.37
  5. Step 5: Solve for x
    x = 32,776,502,964.37/205,969.39
  6. Step 6: Final answer
    x = 159,132.88

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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.