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Finding the Fourth Proportional to 115,764, 173,646.00 and 76,311.89

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Solution

The fourth proportional to 115,764, 173,646.00 and 76,311.89 is: 114,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,764 : 173,646.00 = 76,311.89 : x
  2. Step 2: Convert to fraction form
    115,764/173,646.00 = 76,311.89/x
  3. Step 3: Cross multiply
    115,764x = 173,646.00 × 76,311.89
  4. Step 4: Simplify right side
    115,764x = 13,251,253,391.93
  5. Step 5: Solve for x
    x = 13,251,253,391.93/115,764
  6. Step 6: Final answer
    x = 114,467.83

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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.