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Finding the Fourth Proportional to 223,760.81, 308,789.92 and 123,158.81

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Solution

The fourth proportional to 223,760.81, 308,789.92 and 123,158.81 is: 169,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,760.81 : 308,789.92 = 123,158.81 : x
  2. Step 2: Convert to fraction form
    223,760.81/308,789.92 = 123,158.81/x
  3. Step 3: Cross multiply
    223,760.81x = 308,789.92 × 123,158.81
  4. Step 4: Simplify right side
    223,760.81x = 38,030,200,013.12
  5. Step 5: Solve for x
    x = 38,030,200,013.12/223,760.81
  6. Step 6: Final answer
    x = 169,959.16

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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.