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Finding the Fourth Proportional to 69,295.10, 103,856.31 and 31,815.32

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Solution

The fourth proportional to 69,295.10, 103,856.31 and 31,815.32 is: 47,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,295.10 : 103,856.31 = 31,815.32 : x
  2. Step 2: Convert to fraction form
    69,295.10/103,856.31 = 31,815.32/x
  3. Step 3: Cross multiply
    69,295.10x = 103,856.31 × 31,815.32
  4. Step 4: Simplify right side
    69,295.10x = 3,304,221,217.39
  5. Step 5: Solve for x
    x = 3,304,221,217.39/69,295.10
  6. Step 6: Final answer
    x = 47,683.33

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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.