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Finding the Fourth Proportional to 90,442, 135,674.52 and 24,778

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Solution

The fourth proportional to 90,442, 135,674.52 and 24,778 is: 37,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,442 : 135,674.52 = 24,778 : x
  2. Step 2: Convert to fraction form
    90,442/135,674.52 = 24,778/x
  3. Step 3: Cross multiply
    90,442x = 135,674.52 × 24,778
  4. Step 4: Simplify right side
    90,442x = 3,361,743,256.56
  5. Step 5: Solve for x
    x = 3,361,743,256.56/90,442
  6. Step 6: Final answer
    x = 37,170.16

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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.