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Finding the Fourth Proportional to 253,930.70, 381,020.74 and 102,121.64

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Solution

The fourth proportional to 253,930.70, 381,020.74 and 102,121.64 is: 153,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,930.70 : 381,020.74 = 102,121.64 : x
  2. Step 2: Convert to fraction form
    253,930.70/381,020.74 = 102,121.64/x
  3. Step 3: Cross multiply
    253,930.70x = 381,020.74 × 102,121.64
  4. Step 4: Simplify right side
    253,930.70x = 38,910,462,842.81
  5. Step 5: Solve for x
    x = 38,910,462,842.81/253,930.70
  6. Step 6: Final answer
    x = 153,232.61

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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.