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Finding the Fourth Proportional to 69,409.80, 104,083.92 and 31,960.80

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Solution

The fourth proportional to 69,409.80, 104,083.92 and 31,960.80 is: 47,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,409.80 : 104,083.92 = 31,960.80 : x
  2. Step 2: Convert to fraction form
    69,409.80/104,083.92 = 31,960.80/x
  3. Step 3: Cross multiply
    69,409.80x = 104,083.92 × 31,960.80
  4. Step 4: Simplify right side
    69,409.80x = 3,326,605,350.34
  5. Step 5: Solve for x
    x = 3,326,605,350.34/69,409.80
  6. Step 6: Final answer
    x = 47,927.03

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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.