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Finding the Fourth Proportional to 178,109.12, 267,163.68 and 79,544

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Solution

The fourth proportional to 178,109.12, 267,163.68 and 79,544 is: 119,316

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,109.12 : 267,163.68 = 79,544 : x
  2. Step 2: Convert to fraction form
    178,109.12/267,163.68 = 79,544/x
  3. Step 3: Cross multiply
    178,109.12x = 267,163.68 × 79,544
  4. Step 4: Simplify right side
    178,109.12x = 21,251,267,761.92
  5. Step 5: Solve for x
    x = 21,251,267,761.92/178,109.12
  6. Step 6: Final answer
    x = 119,316

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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.