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Finding the Fourth Proportional to 194,646.82, 291,791.86 and 68,218.15

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Solution

The fourth proportional to 194,646.82, 291,791.86 and 68,218.15 is: 102,264.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,646.82 : 291,791.86 = 68,218.15 : x
  2. Step 2: Convert to fraction form
    194,646.82/291,791.86 = 68,218.15/x
  3. Step 3: Cross multiply
    194,646.82x = 291,791.86 × 68,218.15
  4. Step 4: Simplify right side
    194,646.82x = 19,905,500,425.41
  5. Step 5: Solve for x
    x = 19,905,500,425.41/194,646.82
  6. Step 6: Final answer
    x = 102,264.71

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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.