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Finding the Fourth Proportional to 84,406.77, 126,572.90 and 31,099.05

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Solution

The fourth proportional to 84,406.77, 126,572.90 and 31,099.05 is: 46,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,406.77 : 126,572.90 = 31,099.05 : x
  2. Step 2: Convert to fraction form
    84,406.77/126,572.90 = 31,099.05/x
  3. Step 3: Cross multiply
    84,406.77x = 126,572.90 × 31,099.05
  4. Step 4: Simplify right side
    84,406.77x = 3,936,296,790.25
  5. Step 5: Solve for x
    x = 3,936,296,790.25/84,406.77
  6. Step 6: Final answer
    x = 46,634.85

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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.