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Finding the Fourth Proportional to 71,769.53, 107,677.35 and 21,859.29

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Solution

The fourth proportional to 71,769.53, 107,677.35 and 21,859.29 is: 32,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769.53 : 107,677.35 = 21,859.29 : x
  2. Step 2: Convert to fraction form
    71,769.53/107,677.35 = 21,859.29/x
  3. Step 3: Cross multiply
    71,769.53x = 107,677.35 × 21,859.29
  4. Step 4: Simplify right side
    71,769.53x = 2,353,750,420.08
  5. Step 5: Solve for x
    x = 2,353,750,420.08/71,769.53
  6. Step 6: Final answer
    x = 32,795.96

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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.