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Finding the Fourth Proportional to 178,111.12, 267,166.68 and 79,546

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Solution

The fourth proportional to 178,111.12, 267,166.68 and 79,546 is: 119,319

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,111.12 : 267,166.68 = 79,546 : x
  2. Step 2: Convert to fraction form
    178,111.12/267,166.68 = 79,546/x
  3. Step 3: Cross multiply
    178,111.12x = 267,166.68 × 79,546
  4. Step 4: Simplify right side
    178,111.12x = 21,252,040,727.28
  5. Step 5: Solve for x
    x = 21,252,040,727.28/178,111.12
  6. Step 6: Final answer
    x = 119,319

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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.