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Finding the Fourth Proportional to 69,974.60, 104,923.38 and 47,813

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Solution

The fourth proportional to 69,974.60, 104,923.38 and 47,813 is: 71,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,974.60 : 104,923.38 = 47,813 : x
  2. Step 2: Convert to fraction form
    69,974.60/104,923.38 = 47,813/x
  3. Step 3: Cross multiply
    69,974.60x = 104,923.38 × 47,813
  4. Step 4: Simplify right side
    69,974.60x = 5,016,701,567.94
  5. Step 5: Solve for x
    x = 5,016,701,567.94/69,974.60
  6. Step 6: Final answer
    x = 71,693.18

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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.