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Finding the Fourth Proportional to 135,993.64, 187,665 and 75,568.48

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Solution

The fourth proportional to 135,993.64, 187,665 and 75,568.48 is: 104,281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,993.64 : 187,665 = 75,568.48 : x
  2. Step 2: Convert to fraction form
    135,993.64/187,665 = 75,568.48/x
  3. Step 3: Cross multiply
    135,993.64x = 187,665 × 75,568.48
  4. Step 4: Simplify right side
    135,993.64x = 14,181,558,799.20
  5. Step 5: Solve for x
    x = 14,181,558,799.20/135,993.64
  6. Step 6: Final answer
    x = 104,281.04

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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.