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Finding the Fourth Proportional to 85,500, 117,990 and 47,774.25

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Solution

The fourth proportional to 85,500, 117,990 and 47,774.25 is: 65,928.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,500 : 117,990 = 47,774.25 : x
  2. Step 2: Convert to fraction form
    85,500/117,990 = 47,774.25/x
  3. Step 3: Cross multiply
    85,500x = 117,990 × 47,774.25
  4. Step 4: Simplify right side
    85,500x = 5,636,883,757.50
  5. Step 5: Solve for x
    x = 5,636,883,757.50/85,500
  6. Step 6: Final answer
    x = 65,928.47

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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.