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Finding the Fourth Proportional to 69,777.68, 96,314.28 and 47,434.64

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Solution

The fourth proportional to 69,777.68, 96,314.28 and 47,434.64 is: 65,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,777.68 : 96,314.28 = 47,434.64 : x
  2. Step 2: Convert to fraction form
    69,777.68/96,314.28 = 47,434.64/x
  3. Step 3: Cross multiply
    69,777.68x = 96,314.28 × 47,434.64
  4. Step 4: Simplify right side
    69,777.68x = 4,568,633,198.66
  5. Step 5: Solve for x
    x = 4,568,633,198.66/69,777.68
  6. Step 6: Final answer
    x = 65,474.13

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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.