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Finding the Fourth Proportional to 136,642.80, 204,992.28 and 57,757.44

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Solution

The fourth proportional to 136,642.80, 204,992.28 and 57,757.44 is: 86,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,642.80 : 204,992.28 = 57,757.44 : x
  2. Step 2: Convert to fraction form
    136,642.80/204,992.28 = 57,757.44/x
  3. Step 3: Cross multiply
    136,642.80x = 204,992.28 × 57,757.44
  4. Step 4: Simplify right side
    136,642.80x = 11,839,829,312.56
  5. Step 5: Solve for x
    x = 11,839,829,312.56/136,642.80
  6. Step 6: Final answer
    x = 86,648.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.