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Finding the Fourth Proportional to 87,617, 120,912.42 and 47,873

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Solution

The fourth proportional to 87,617, 120,912.42 and 47,873 is: 66,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,617 : 120,912.42 = 47,873 : x
  2. Step 2: Convert to fraction form
    87,617/120,912.42 = 47,873/x
  3. Step 3: Cross multiply
    87,617x = 120,912.42 × 47,873
  4. Step 4: Simplify right side
    87,617x = 5,788,440,282.66
  5. Step 5: Solve for x
    x = 5,788,440,282.66/87,617
  6. Step 6: Final answer
    x = 66,065.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.