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Finding the Fourth Proportional to 137,626, 189,924.20 and 80,304.73

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Solution

The fourth proportional to 137,626, 189,924.20 and 80,304.73 is: 110,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,626 : 189,924.20 = 80,304.73 : x
  2. Step 2: Convert to fraction form
    137,626/189,924.20 = 80,304.73/x
  3. Step 3: Cross multiply
    137,626x = 189,924.20 × 80,304.73
  4. Step 4: Simplify right side
    137,626x = 15,251,811,601.47
  5. Step 5: Solve for x
    x = 15,251,811,601.47/137,626
  6. Step 6: Final answer
    x = 110,820.71

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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.