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Finding the Fourth Proportional to 66,642.78, 99,964.17 and 17,394.78

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Solution

The fourth proportional to 66,642.78, 99,964.17 and 17,394.78 is: 26,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,642.78 : 99,964.17 = 17,394.78 : x
  2. Step 2: Convert to fraction form
    66,642.78/99,964.17 = 17,394.78/x
  3. Step 3: Cross multiply
    66,642.78x = 99,964.17 × 17,394.78
  4. Step 4: Simplify right side
    66,642.78x = 1,738,854,745.03
  5. Step 5: Solve for x
    x = 1,738,854,745.03/66,642.78
  6. Step 6: Final answer
    x = 26,092.17

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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.