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Finding the Fourth Proportional to 76,638.62, 114,956.60 and 34,488.87

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Solution

The fourth proportional to 76,638.62, 114,956.60 and 34,488.87 is: 51,732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,638.62 : 114,956.60 = 34,488.87 : x
  2. Step 2: Convert to fraction form
    76,638.62/114,956.60 = 34,488.87/x
  3. Step 3: Cross multiply
    76,638.62x = 114,956.60 × 34,488.87
  4. Step 4: Simplify right side
    76,638.62x = 3,964,723,060.60
  5. Step 5: Solve for x
    x = 3,964,723,060.60/76,638.62
  6. Step 6: Final answer
    x = 51,732.71

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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.