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Finding the Fourth Proportional to 76,170.54, 114,254.60 and 20,766.54

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Solution

The fourth proportional to 76,170.54, 114,254.60 and 20,766.54 is: 31,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,170.54 : 114,254.60 = 20,766.54 : x
  2. Step 2: Convert to fraction form
    76,170.54/114,254.60 = 20,766.54/x
  3. Step 3: Cross multiply
    76,170.54x = 114,254.60 × 20,766.54
  4. Step 4: Simplify right side
    76,170.54x = 2,372,672,721.08
  5. Step 5: Solve for x
    x = 2,372,672,721.08/76,170.54
  6. Step 6: Final answer
    x = 31,149.48

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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.