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Finding the Fourth Proportional to 102,481.92, 152,704.10 and 91,302.71

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Solution

The fourth proportional to 102,481.92, 152,704.10 and 91,302.71 is: 136,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,481.92 : 152,704.10 = 91,302.71 : x
  2. Step 2: Convert to fraction form
    102,481.92/152,704.10 = 91,302.71/x
  3. Step 3: Cross multiply
    102,481.92x = 152,704.10 × 91,302.71
  4. Step 4: Simplify right side
    102,481.92x = 13,942,297,622.85
  5. Step 5: Solve for x
    x = 13,942,297,622.85/102,481.92
  6. Step 6: Final answer
    x = 136,046.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.