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Finding the Fourth Proportional to 83,997.80, 126,045.30 and 31,412.60

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Solution

The fourth proportional to 83,997.80, 126,045.30 and 31,412.60 is: 47,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,997.80 : 126,045.30 = 31,412.60 : x
  2. Step 2: Convert to fraction form
    83,997.80/126,045.30 = 31,412.60/x
  3. Step 3: Cross multiply
    83,997.80x = 126,045.30 × 31,412.60
  4. Step 4: Simplify right side
    83,997.80x = 3,959,410,590.78
  5. Step 5: Solve for x
    x = 3,959,410,590.78/83,997.80
  6. Step 6: Final answer
    x = 47,137.07

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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.