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Finding the Fourth Proportional to 223,815.68, 308,864.64 and 123,213.60

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Solution

The fourth proportional to 223,815.68, 308,864.64 and 123,213.60 is: 170,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,815.68 : 308,864.64 = 123,213.60 : x
  2. Step 2: Convert to fraction form
    223,815.68/308,864.64 = 123,213.60/x
  3. Step 3: Cross multiply
    223,815.68x = 308,864.64 × 123,213.60
  4. Step 4: Simplify right side
    223,815.68x = 38,056,324,207.10
  5. Step 5: Solve for x
    x = 38,056,324,207.10/223,815.68
  6. Step 6: Final answer
    x = 170,034.22

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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.