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Finding the Fourth Proportional to 67,842.56, 101,780.25 and 21,095.44

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Solution

The fourth proportional to 67,842.56, 101,780.25 and 21,095.44 is: 31,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.56 : 101,780.25 = 21,095.44 : x
  2. Step 2: Convert to fraction form
    67,842.56/101,780.25 = 21,095.44/x
  3. Step 3: Cross multiply
    67,842.56x = 101,780.25 × 21,095.44
  4. Step 4: Simplify right side
    67,842.56x = 2,147,098,823.50
  5. Step 5: Solve for x
    x = 2,147,098,823.50/67,842.56
  6. Step 6: Final answer
    x = 31,648.26

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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.