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Finding the Fourth Proportional to 76,378.73, 114,540.76 and 26,445.43

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Solution

The fourth proportional to 76,378.73, 114,540.76 and 26,445.43 is: 39,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378.73 : 114,540.76 = 26,445.43 : x
  2. Step 2: Convert to fraction form
    76,378.73/114,540.76 = 26,445.43/x
  3. Step 3: Cross multiply
    76,378.73x = 114,540.76 × 26,445.43
  4. Step 4: Simplify right side
    76,378.73x = 3,029,078,945.80
  5. Step 5: Solve for x
    x = 3,029,078,945.80/76,378.73
  6. Step 6: Final answer
    x = 39,658.67

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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.