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Finding the Fourth Proportional to 178,416, 267,727.68 and 79,920

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Solution

The fourth proportional to 178,416, 267,727.68 and 79,920 is: 119,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416 : 267,727.68 = 79,920 : x
  2. Step 2: Convert to fraction form
    178,416/267,727.68 = 79,920/x
  3. Step 3: Cross multiply
    178,416x = 267,727.68 × 79,920
  4. Step 4: Simplify right side
    178,416x = 21,396,796,185.60
  5. Step 5: Solve for x
    x = 21,396,796,185.60/178,416
  6. Step 6: Final answer
    x = 119,926.44

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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.