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Finding the Fourth Proportional to 71,808.84, 107,729.25 and 21,892.83

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Solution

The fourth proportional to 71,808.84, 107,729.25 and 21,892.83 is: 32,844.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,808.84 : 107,729.25 = 21,892.83 : x
  2. Step 2: Convert to fraction form
    71,808.84/107,729.25 = 21,892.83/x
  3. Step 3: Cross multiply
    71,808.84x = 107,729.25 × 21,892.83
  4. Step 4: Simplify right side
    71,808.84x = 2,358,497,670.19
  5. Step 5: Solve for x
    x = 2,358,497,670.19/71,808.84
  6. Step 6: Final answer
    x = 32,844.11

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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.