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Finding the Fourth Proportional to 223,896.12, 308,976.66 and 123,294.12

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Solution

The fourth proportional to 223,896.12, 308,976.66 and 123,294.12 is: 170,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,896.12 : 308,976.66 = 123,294.12 : x
  2. Step 2: Convert to fraction form
    223,896.12/308,976.66 = 123,294.12/x
  3. Step 3: Cross multiply
    223,896.12x = 308,976.66 × 123,294.12
  4. Step 4: Simplify right side
    223,896.12x = 38,095,005,395.24
  5. Step 5: Solve for x
    x = 38,095,005,395.24/223,896.12
  6. Step 6: Final answer
    x = 170,145.89

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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.