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Finding the Fourth Proportional to 138,632.64, 191,268.72 and 82,033.08

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Solution

The fourth proportional to 138,632.64, 191,268.72 and 82,033.08 is: 113,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,632.64 : 191,268.72 = 82,033.08 : x
  2. Step 2: Convert to fraction form
    138,632.64/191,268.72 = 82,033.08/x
  3. Step 3: Cross multiply
    138,632.64x = 191,268.72 × 82,033.08
  4. Step 4: Simplify right side
    138,632.64x = 15,690,362,209.26
  5. Step 5: Solve for x
    x = 15,690,362,209.26/138,632.64
  6. Step 6: Final answer
    x = 113,179.42

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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.