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Finding the Fourth Proportional to 85,674.85, 118,231.27 and 47,949.10

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Solution

The fourth proportional to 85,674.85, 118,231.27 and 47,949.10 is: 66,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,674.85 : 118,231.27 = 47,949.10 : x
  2. Step 2: Convert to fraction form
    85,674.85/118,231.27 = 47,949.10/x
  3. Step 3: Cross multiply
    85,674.85x = 118,231.27 × 47,949.10
  4. Step 4: Simplify right side
    85,674.85x = 5,669,082,988.36
  5. Step 5: Solve for x
    x = 5,669,082,988.36/85,674.85
  6. Step 6: Final answer
    x = 66,169.75

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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.