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Finding the Fourth Proportional to 84,653.62, 126,869.01 and 47,231.30

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Solution

The fourth proportional to 84,653.62, 126,869.01 and 47,231.30 is: 70,784.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,653.62 : 126,869.01 = 47,231.30 : x
  2. Step 2: Convert to fraction form
    84,653.62/126,869.01 = 47,231.30/x
  3. Step 3: Cross multiply
    84,653.62x = 126,869.01 × 47,231.30
  4. Step 4: Simplify right side
    84,653.62x = 5,992,188,272.01
  5. Step 5: Solve for x
    x = 5,992,188,272.01/84,653.62
  6. Step 6: Final answer
    x = 70,784.78

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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.