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Finding the Fourth Proportional to 84,125.83, 126,183.79 and 31,530.91

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Solution

The fourth proportional to 84,125.83, 126,183.79 and 31,530.91 is: 47,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,125.83 : 126,183.79 = 31,530.91 : x
  2. Step 2: Convert to fraction form
    84,125.83/126,183.79 = 31,530.91/x
  3. Step 3: Cross multiply
    84,125.83x = 126,183.79 × 31,530.91
  4. Step 4: Simplify right side
    84,125.83x = 3,978,689,725.95
  5. Step 5: Solve for x
    x = 3,978,689,725.95/84,125.83
  6. Step 6: Final answer
    x = 47,294.51

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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.