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Finding the Fourth Proportional to 71,690.82, 107,501.40 and 21,761.88

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Solution

The fourth proportional to 71,690.82, 107,501.40 and 21,761.88 is: 32,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,690.82 : 107,501.40 = 21,761.88 : x
  2. Step 2: Convert to fraction form
    71,690.82/107,501.40 = 21,761.88/x
  3. Step 3: Cross multiply
    71,690.82x = 107,501.40 × 21,761.88
  4. Step 4: Simplify right side
    71,690.82x = 2,339,432,566.63
  5. Step 5: Solve for x
    x = 2,339,432,566.63/71,690.82
  6. Step 6: Final answer
    x = 32,632.25

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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.