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Finding the Fourth Proportional to 202,042.98, 278,716.89 and 154,213.29

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Solution

The fourth proportional to 202,042.98, 278,716.89 and 154,213.29 is: 212,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,042.98 : 278,716.89 = 154,213.29 : x
  2. Step 2: Convert to fraction form
    202,042.98/278,716.89 = 154,213.29/x
  3. Step 3: Cross multiply
    202,042.98x = 278,716.89 × 154,213.29
  4. Step 4: Simplify right side
    202,042.98x = 42,981,848,585.47
  5. Step 5: Solve for x
    x = 42,981,848,585.47/202,042.98
  6. Step 6: Final answer
    x = 212,736.16

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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.