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Finding the Fourth Proportional to 178,579.62, 267,910.32 and 77,394.66

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Solution

The fourth proportional to 178,579.62, 267,910.32 and 77,394.66 is: 116,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,579.62 : 267,910.32 = 77,394.66 : x
  2. Step 2: Convert to fraction form
    178,579.62/267,910.32 = 77,394.66/x
  3. Step 3: Cross multiply
    178,579.62x = 267,910.32 × 77,394.66
  4. Step 4: Simplify right side
    178,579.62x = 20,734,828,126.89
  5. Step 5: Solve for x
    x = 20,734,828,126.89/178,579.62
  6. Step 6: Final answer
    x = 116,109.71

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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.