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Finding the Fourth Proportional to 178,747.70, 268,121.31 and 45,627.98

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Solution

The fourth proportional to 178,747.70, 268,121.31 and 45,627.98 is: 68,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,747.70 : 268,121.31 = 45,627.98 : x
  2. Step 2: Convert to fraction form
    178,747.70/268,121.31 = 45,627.98/x
  3. Step 3: Cross multiply
    178,747.70x = 268,121.31 × 45,627.98
  4. Step 4: Simplify right side
    178,747.70x = 12,233,832,258.54
  5. Step 5: Solve for x
    x = 12,233,832,258.54/178,747.70
  6. Step 6: Final answer
    x = 68,441.90

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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.