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Finding the Fourth Proportional to 103,211.50, 154,843.18 and 29,339.50

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Solution

The fourth proportional to 103,211.50, 154,843.18 and 29,339.50 is: 44,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,211.50 : 154,843.18 = 29,339.50 : x
  2. Step 2: Convert to fraction form
    103,211.50/154,843.18 = 29,339.50/x
  3. Step 3: Cross multiply
    103,211.50x = 154,843.18 × 29,339.50
  4. Step 4: Simplify right side
    103,211.50x = 4,543,021,479.61
  5. Step 5: Solve for x
    x = 4,543,021,479.61/103,211.50
  6. Step 6: Final answer
    x = 44,016.62

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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.