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Finding the Fourth Proportional to 85,457.44, 117,932.50 and 47,217.88

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Solution

The fourth proportional to 85,457.44, 117,932.50 and 47,217.88 is: 65,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,457.44 : 117,932.50 = 47,217.88 : x
  2. Step 2: Convert to fraction form
    85,457.44/117,932.50 = 47,217.88/x
  3. Step 3: Cross multiply
    85,457.44x = 117,932.50 × 47,217.88
  4. Step 4: Simplify right side
    85,457.44x = 5,568,522,633.10
  5. Step 5: Solve for x
    x = 5,568,522,633.10/85,457.44
  6. Step 6: Final answer
    x = 65,161.36

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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.