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Finding the Fourth Proportional to 85,299.50, 117,713.31 and 47,573.78

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Solution

The fourth proportional to 85,299.50, 117,713.31 and 47,573.78 is: 65,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,299.50 : 117,713.31 = 47,573.78 : x
  2. Step 2: Convert to fraction form
    85,299.50/117,713.31 = 47,573.78/x
  3. Step 3: Cross multiply
    85,299.50x = 117,713.31 × 47,573.78
  4. Step 4: Simplify right side
    85,299.50x = 5,600,067,113.01
  5. Step 5: Solve for x
    x = 5,600,067,113.01/85,299.50
  6. Step 6: Final answer
    x = 65,651.82

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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.