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Finding the Fourth Proportional to 223,605.78, 308,580.87 and 123,003.78

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Solution

The fourth proportional to 223,605.78, 308,580.87 and 123,003.78 is: 169,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,605.78 : 308,580.87 = 123,003.78 : x
  2. Step 2: Convert to fraction form
    223,605.78/308,580.87 = 123,003.78/x
  3. Step 3: Cross multiply
    223,605.78x = 308,580.87 × 123,003.78
  4. Step 4: Simplify right side
    223,605.78x = 37,956,613,445.69
  5. Step 5: Solve for x
    x = 37,956,613,445.69/223,605.78
  6. Step 6: Final answer
    x = 169,747.91

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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.