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Finding the Fourth Proportional to 102,991.50, 154,479.54 and 31,914.68

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Solution

The fourth proportional to 102,991.50, 154,479.54 and 31,914.68 is: 47,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991.50 : 154,479.54 = 31,914.68 : x
  2. Step 2: Convert to fraction form
    102,991.50/154,479.54 = 31,914.68/x
  3. Step 3: Cross multiply
    102,991.50x = 154,479.54 × 31,914.68
  4. Step 4: Simplify right side
    102,991.50x = 4,930,165,085.65
  5. Step 5: Solve for x
    x = 4,930,165,085.65/102,991.50
  6. Step 6: Final answer
    x = 47,869.63

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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.