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Finding the Fourth Proportional to 135,732.78, 187,302.78 and 81,986.04

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Solution

The fourth proportional to 135,732.78, 187,302.78 and 81,986.04 is: 113,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,732.78 : 187,302.78 = 81,986.04 : x
  2. Step 2: Convert to fraction form
    135,732.78/187,302.78 = 81,986.04/x
  3. Step 3: Cross multiply
    135,732.78x = 187,302.78 × 81,986.04
  4. Step 4: Simplify right side
    135,732.78x = 15,356,213,213.19
  5. Step 5: Solve for x
    x = 15,356,213,213.19/135,732.78
  6. Step 6: Final answer
    x = 113,135.63

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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.