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Finding the Fourth Proportional to 71,744.61, 107,620.74 and 21,820.89

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Solution

The fourth proportional to 71,744.61, 107,620.74 and 21,820.89 is: 32,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,744.61 : 107,620.74 = 21,820.89 : x
  2. Step 2: Convert to fraction form
    71,744.61/107,620.74 = 21,820.89/x
  3. Step 3: Cross multiply
    71,744.61x = 107,620.74 × 21,820.89
  4. Step 4: Simplify right side
    71,744.61x = 2,348,380,329.26
  5. Step 5: Solve for x
    x = 2,348,380,329.26/71,744.61
  6. Step 6: Final answer
    x = 32,732.50

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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.