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Finding the Fourth Proportional to 69,122.70, 103,658.13 and 29,659.50

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Solution

The fourth proportional to 69,122.70, 103,658.13 and 29,659.50 is: 44,478.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,122.70 : 103,658.13 = 29,659.50 : x
  2. Step 2: Convert to fraction form
    69,122.70/103,658.13 = 29,659.50/x
  3. Step 3: Cross multiply
    69,122.70x = 103,658.13 × 29,659.50
  4. Step 4: Simplify right side
    69,122.70x = 3,074,448,306.74
  5. Step 5: Solve for x
    x = 3,074,448,306.74/69,122.70
  6. Step 6: Final answer
    x = 44,478.13

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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.