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Finding the Fourth Proportional to 71,769.06, 107,657.67 and 21,850.80

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Solution

The fourth proportional to 71,769.06, 107,657.67 and 21,850.80 is: 32,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769.06 : 107,657.67 = 21,850.80 : x
  2. Step 2: Convert to fraction form
    71,769.06/107,657.67 = 21,850.80/x
  3. Step 3: Cross multiply
    71,769.06x = 107,657.67 × 21,850.80
  4. Step 4: Simplify right side
    71,769.06x = 2,352,406,215.64
  5. Step 5: Solve for x
    x = 2,352,406,215.64/71,769.06
  6. Step 6: Final answer
    x = 32,777.44

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1.5x scale

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.