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Finding the Fourth Proportional to 234,693.12, 323,791.62 and 154,164

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Solution

The fourth proportional to 234,693.12, 323,791.62 and 154,164 is: 212,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,693.12 : 323,791.62 = 154,164 : x
  2. Step 2: Convert to fraction form
    234,693.12/323,791.62 = 154,164/x
  3. Step 3: Cross multiply
    234,693.12x = 323,791.62 × 154,164
  4. Step 4: Simplify right side
    234,693.12x = 49,917,011,305.68
  5. Step 5: Solve for x
    x = 49,917,011,305.68/234,693.12
  6. Step 6: Final answer
    x = 212,690.56

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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.