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Finding the Fourth Proportional to 77,171.54, 115,766.55 and 27,241.34

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Solution

The fourth proportional to 77,171.54, 115,766.55 and 27,241.34 is: 40,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,171.54 : 115,766.55 = 27,241.34 : x
  2. Step 2: Convert to fraction form
    77,171.54/115,766.55 = 27,241.34/x
  3. Step 3: Cross multiply
    77,171.54x = 115,766.55 × 27,241.34
  4. Step 4: Simplify right side
    77,171.54x = 3,153,635,949.18
  5. Step 5: Solve for x
    x = 3,153,635,949.18/77,171.54
  6. Step 6: Final answer
    x = 40,865.27

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1.5x scale

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.