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Finding the Fourth Proportional to 77,059.88, 115,546.04 and 45,917

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Solution

The fourth proportional to 77,059.88, 115,546.04 and 45,917 is: 68,849.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,059.88 : 115,546.04 = 45,917 : x
  2. Step 2: Convert to fraction form
    77,059.88/115,546.04 = 45,917/x
  3. Step 3: Cross multiply
    77,059.88x = 115,546.04 × 45,917
  4. Step 4: Simplify right side
    77,059.88x = 5,305,527,518.68
  5. Step 5: Solve for x
    x = 5,305,527,518.68/77,059.88
  6. Step 6: Final answer
    x = 68,849.41

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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.