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Finding the Fourth Proportional to 223,815.40, 308,879.24 and 123,213.40

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Solution

The fourth proportional to 223,815.40, 308,879.24 and 123,213.40 is: 170,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,815.40 : 308,879.24 = 123,213.40 : x
  2. Step 2: Convert to fraction form
    223,815.40/308,879.24 = 123,213.40/x
  3. Step 3: Cross multiply
    223,815.40x = 308,879.24 × 123,213.40
  4. Step 4: Simplify right side
    223,815.40x = 38,058,061,349.82
  5. Step 5: Solve for x
    x = 38,058,061,349.82/223,815.40
  6. Step 6: Final answer
    x = 170,042.19

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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.