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Finding the Fourth Proportional to 84,508, 126,763.84 and 31,942.24

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Solution

The fourth proportional to 84,508, 126,763.84 and 31,942.24 is: 47,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,508 : 126,763.84 = 31,942.24 : x
  2. Step 2: Convert to fraction form
    84,508/126,763.84 = 31,942.24/x
  3. Step 3: Cross multiply
    84,508x = 126,763.84 × 31,942.24
  4. Step 4: Simplify right side
    84,508x = 4,049,121,000.60
  5. Step 5: Solve for x
    x = 4,049,121,000.60/84,508
  6. Step 6: Final answer
    x = 47,914.06

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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.