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Finding the Fourth Proportional to 85,294.62, 117,706.77 and 47,571.30

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Solution

The fourth proportional to 85,294.62, 117,706.77 and 47,571.30 is: 65,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.62 : 117,706.77 = 47,571.30 : x
  2. Step 2: Convert to fraction form
    85,294.62/117,706.77 = 47,571.30/x
  3. Step 3: Cross multiply
    85,294.62x = 117,706.77 × 47,571.30
  4. Step 4: Simplify right side
    85,294.62x = 5,599,464,067.70
  5. Step 5: Solve for x
    x = 5,599,464,067.70/85,294.62
  6. Step 6: Final answer
    x = 65,648.50

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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.