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Finding the Fourth Proportional to 243,072.05, 335,304.64 and 142,450.61

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Solution

The fourth proportional to 243,072.05, 335,304.64 and 142,450.61 is: 196,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,072.05 : 335,304.64 = 142,450.61 : x
  2. Step 2: Convert to fraction form
    243,072.05/335,304.64 = 142,450.61/x
  3. Step 3: Cross multiply
    243,072.05x = 335,304.64 × 142,450.61
  4. Step 4: Simplify right side
    243,072.05x = 47,764,350,503.83
  5. Step 5: Solve for x
    x = 47,764,350,503.83/243,072.05
  6. Step 6: Final answer
    x = 196,502.85

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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.