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Finding the Fourth Proportional to 61,171.75, 91,782.12 and 27,907.48

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Solution

The fourth proportional to 61,171.75, 91,782.12 and 27,907.48 is: 41,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,171.75 : 91,782.12 = 27,907.48 : x
  2. Step 2: Convert to fraction form
    61,171.75/91,782.12 = 27,907.48/x
  3. Step 3: Cross multiply
    61,171.75x = 91,782.12 × 27,907.48
  4. Step 4: Simplify right side
    61,171.75x = 2,561,407,678.26
  5. Step 5: Solve for x
    x = 2,561,407,678.26/61,171.75
  6. Step 6: Final answer
    x = 41,872.39

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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.