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Finding the Fourth Proportional to 207,855.65, 311,550.19 and 102,748.43

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Solution

The fourth proportional to 207,855.65, 311,550.19 and 102,748.43 is: 154,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,855.65 : 311,550.19 = 102,748.43 : x
  2. Step 2: Convert to fraction form
    207,855.65/311,550.19 = 102,748.43/x
  3. Step 3: Cross multiply
    207,855.65x = 311,550.19 × 102,748.43
  4. Step 4: Simplify right side
    207,855.65x = 32,011,292,888.70
  5. Step 5: Solve for x
    x = 32,011,292,888.70/207,855.65
  6. Step 6: Final answer
    x = 154,007.33

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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.