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Finding the Fourth Proportional to 69,499.92, 104,169.24 and 31,981.23

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Solution

The fourth proportional to 69,499.92, 104,169.24 and 31,981.23 is: 47,934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,499.92 : 104,169.24 = 31,981.23 : x
  2. Step 2: Convert to fraction form
    69,499.92/104,169.24 = 31,981.23/x
  3. Step 3: Cross multiply
    69,499.92x = 104,169.24 × 31,981.23
  4. Step 4: Simplify right side
    69,499.92x = 3,331,460,423.37
  5. Step 5: Solve for x
    x = 3,331,460,423.37/69,499.92
  6. Step 6: Final answer
    x = 47,934.73

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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.