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Finding the Fourth Proportional to 71,723.76, 107,585.60 and 21,803.68

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Solution

The fourth proportional to 71,723.76, 107,585.60 and 21,803.68 is: 32,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,723.76 : 107,585.60 = 21,803.68 : x
  2. Step 2: Convert to fraction form
    71,723.76/107,585.60 = 21,803.68/x
  3. Step 3: Cross multiply
    71,723.76x = 107,585.60 × 21,803.68
  4. Step 4: Simplify right side
    71,723.76x = 2,345,761,995.01
  5. Step 5: Solve for x
    x = 2,345,761,995.01/71,723.76
  6. Step 6: Final answer
    x = 32,705.51

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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.