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Finding the Fourth Proportional to 85,456.50, 117,932.34 and 47,218.51

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Solution

The fourth proportional to 85,456.50, 117,932.34 and 47,218.51 is: 65,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,456.50 : 117,932.34 = 47,218.51 : x
  2. Step 2: Convert to fraction form
    85,456.50/117,932.34 = 47,218.51/x
  3. Step 3: Cross multiply
    85,456.50x = 117,932.34 × 47,218.51
  4. Step 4: Simplify right side
    85,456.50x = 5,568,588,785.95
  5. Step 5: Solve for x
    x = 5,568,588,785.95/85,456.50
  6. Step 6: Final answer
    x = 65,162.85

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1.5x scale

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.