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Finding the Fourth Proportional to 71,724.59, 107,599.19 and 21,809.66

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Solution

The fourth proportional to 71,724.59, 107,599.19 and 21,809.66 is: 32,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,724.59 : 107,599.19 = 21,809.66 : x
  2. Step 2: Convert to fraction form
    71,724.59/107,599.19 = 21,809.66/x
  3. Step 3: Cross multiply
    71,724.59x = 107,599.19 × 21,809.66
  4. Step 4: Simplify right side
    71,724.59x = 2,346,701,103.13
  5. Step 5: Solve for x
    x = 2,346,701,103.13/71,724.59
  6. Step 6: Final answer
    x = 32,718.22

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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.