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Finding the Fourth Proportional to 123,694.56, 170,716.80 and 78,376.74

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Solution

The fourth proportional to 123,694.56, 170,716.80 and 78,376.74 is: 108,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,694.56 : 170,716.80 = 78,376.74 : x
  2. Step 2: Convert to fraction form
    123,694.56/170,716.80 = 78,376.74/x
  3. Step 3: Cross multiply
    123,694.56x = 170,716.80 × 78,376.74
  4. Step 4: Simplify right side
    123,694.56x = 13,380,226,247.23
  5. Step 5: Solve for x
    x = 13,380,226,247.23/123,694.56
  6. Step 6: Final answer
    x = 108,171.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.