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Finding the Fourth Proportional to 144,738.20, 217,145.70 and 51,234.20

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Solution

The fourth proportional to 144,738.20, 217,145.70 and 51,234.20 is: 76,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,738.20 : 217,145.70 = 51,234.20 : x
  2. Step 2: Convert to fraction form
    144,738.20/217,145.70 = 51,234.20/x
  3. Step 3: Cross multiply
    144,738.20x = 217,145.70 × 51,234.20
  4. Step 4: Simplify right side
    144,738.20x = 11,125,286,222.94
  5. Step 5: Solve for x
    x = 11,125,286,222.94/144,738.20
  6. Step 6: Final answer
    x = 76,864.89

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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.