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Finding the Fourth Proportional to 84,512, 126,769.84 and 31,946.24

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Solution

The fourth proportional to 84,512, 126,769.84 and 31,946.24 is: 47,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,512 : 126,769.84 = 31,946.24 : x
  2. Step 2: Convert to fraction form
    84,512/126,769.84 = 31,946.24/x
  3. Step 3: Cross multiply
    84,512x = 126,769.84 × 31,946.24
  4. Step 4: Simplify right side
    84,512x = 4,049,819,733.40
  5. Step 5: Solve for x
    x = 4,049,819,733.40/84,512
  6. Step 6: Final answer
    x = 47,920.06

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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.