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Finding the Fourth Proportional to 196,571.50, 271,268.85 and 107,147.50

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Solution

The fourth proportional to 196,571.50, 271,268.85 and 107,147.50 is: 147,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,571.50 : 271,268.85 = 107,147.50 : x
  2. Step 2: Convert to fraction form
    196,571.50/271,268.85 = 107,147.50/x
  3. Step 3: Cross multiply
    196,571.50x = 271,268.85 × 107,147.50
  4. Step 4: Simplify right side
    196,571.50x = 29,065,779,105.38
  5. Step 5: Solve for x
    x = 29,065,779,105.38/196,571.50
  6. Step 6: Final answer
    x = 147,863.65

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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.