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Finding the Fourth Proportional to 135,963.72, 187,642.59 and 82,261.92

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Solution

The fourth proportional to 135,963.72, 187,642.59 and 82,261.92 is: 113,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,963.72 : 187,642.59 = 82,261.92 : x
  2. Step 2: Convert to fraction form
    135,963.72/187,642.59 = 82,261.92/x
  3. Step 3: Cross multiply
    135,963.72x = 187,642.59 × 82,261.92
  4. Step 4: Simplify right side
    135,963.72x = 15,435,839,727.17
  5. Step 5: Solve for x
    x = 15,435,839,727.17/135,963.72
  6. Step 6: Final answer
    x = 113,529.11

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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.