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Finding the Fourth Proportional to 223,815.97, 308,847.76 and 123,213.97

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Solution

The fourth proportional to 223,815.97, 308,847.76 and 123,213.97 is: 170,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,815.97 : 308,847.76 = 123,213.97 : x
  2. Step 2: Convert to fraction form
    223,815.97/308,847.76 = 123,213.97/x
  3. Step 3: Cross multiply
    223,815.97x = 308,847.76 × 123,213.97
  4. Step 4: Simplify right side
    223,815.97x = 38,054,358,635.21
  5. Step 5: Solve for x
    x = 38,054,358,635.21/223,815.97
  6. Step 6: Final answer
    x = 170,025.22

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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.