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Finding the Fourth Proportional to 146,751.70, 220,226.20 and 51,981.56

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Solution

The fourth proportional to 146,751.70, 220,226.20 and 51,981.56 is: 78,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,751.70 : 220,226.20 = 51,981.56 : x
  2. Step 2: Convert to fraction form
    146,751.70/220,226.20 = 51,981.56/x
  3. Step 3: Cross multiply
    146,751.70x = 220,226.20 × 51,981.56
  4. Step 4: Simplify right side
    146,751.70x = 11,447,701,428.87
  5. Step 5: Solve for x
    x = 11,447,701,428.87/146,751.70
  6. Step 6: Final answer
    x = 78,007.28

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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.