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Finding the Fourth Proportional to 69,302.88, 103,868.19 and 31,823.19

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Solution

The fourth proportional to 69,302.88, 103,868.19 and 31,823.19 is: 47,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,302.88 : 103,868.19 = 31,823.19 : x
  2. Step 2: Convert to fraction form
    69,302.88/103,868.19 = 31,823.19/x
  3. Step 3: Cross multiply
    69,302.88x = 103,868.19 × 31,823.19
  4. Step 4: Simplify right side
    69,302.88x = 3,305,417,145.33
  5. Step 5: Solve for x
    x = 3,305,417,145.33/69,302.88
  6. Step 6: Final answer
    x = 47,695.23

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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.