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Finding the Fourth Proportional to 78,198.52, 117,297.72 and 31,440.46

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Solution

The fourth proportional to 78,198.52, 117,297.72 and 31,440.46 is: 47,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.52 : 117,297.72 = 31,440.46 : x
  2. Step 2: Convert to fraction form
    78,198.52/117,297.72 = 31,440.46/x
  3. Step 3: Cross multiply
    78,198.52x = 117,297.72 × 31,440.46
  4. Step 4: Simplify right side
    78,198.52x = 3,687,894,273.75
  5. Step 5: Solve for x
    x = 3,687,894,273.75/78,198.52
  6. Step 6: Final answer
    x = 47,160.67

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1.5x scale

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.