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Finding the Fourth Proportional to 90,439.56, 135,678.80 and 30,474

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Solution

The fourth proportional to 90,439.56, 135,678.80 and 30,474 is: 45,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,439.56 : 135,678.80 = 30,474 : x
  2. Step 2: Convert to fraction form
    90,439.56/135,678.80 = 30,474/x
  3. Step 3: Cross multiply
    90,439.56x = 135,678.80 × 30,474
  4. Step 4: Simplify right side
    90,439.56x = 4,134,675,751.20
  5. Step 5: Solve for x
    x = 4,134,675,751.20/90,439.56
  6. Step 6: Final answer
    x = 45,717.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.