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Finding the Fourth Proportional to 111,694.08, 167,541.12 and 78,451.68

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Solution

The fourth proportional to 111,694.08, 167,541.12 and 78,451.68 is: 117,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,694.08 : 167,541.12 = 78,451.68 : x
  2. Step 2: Convert to fraction form
    111,694.08/167,541.12 = 78,451.68/x
  3. Step 3: Cross multiply
    111,694.08x = 167,541.12 × 78,451.68
  4. Step 4: Simplify right side
    111,694.08x = 13,143,881,103.12
  5. Step 5: Solve for x
    x = 13,143,881,103.12/111,694.08
  6. Step 6: Final answer
    x = 117,677.51

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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.