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Finding the Fourth Proportional to 69,397.14, 104,080.15 and 31,921.23

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Solution

The fourth proportional to 69,397.14, 104,080.15 and 31,921.23 is: 47,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,397.14 : 104,080.15 = 31,921.23 : x
  2. Step 2: Convert to fraction form
    69,397.14/104,080.15 = 31,921.23/x
  3. Step 3: Cross multiply
    69,397.14x = 104,080.15 × 31,921.23
  4. Step 4: Simplify right side
    69,397.14x = 3,322,366,406.58
  5. Step 5: Solve for x
    x = 3,322,366,406.58/69,397.14
  6. Step 6: Final answer
    x = 47,874.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.