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Finding the Fourth Proportional to 78,452.34, 108,325.31 and 48,251.69

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Solution

The fourth proportional to 78,452.34, 108,325.31 and 48,251.69 is: 66,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,452.34 : 108,325.31 = 48,251.69 : x
  2. Step 2: Convert to fraction form
    78,452.34/108,325.31 = 48,251.69/x
  3. Step 3: Cross multiply
    78,452.34x = 108,325.31 × 48,251.69
  4. Step 4: Simplify right side
    78,452.34x = 5,226,879,277.27
  5. Step 5: Solve for x
    x = 5,226,879,277.27/78,452.34
  6. Step 6: Final answer
    x = 66,624.90

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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.