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Finding the Fourth Proportional to 229,375.95, 343,924.20 and 102,991.65

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Solution

The fourth proportional to 229,375.95, 343,924.20 and 102,991.65 is: 154,424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,375.95 : 343,924.20 = 102,991.65 : x
  2. Step 2: Convert to fraction form
    229,375.95/343,924.20 = 102,991.65/x
  3. Step 3: Cross multiply
    229,375.95x = 343,924.20 × 102,991.65
  4. Step 4: Simplify right side
    229,375.95x = 35,421,320,832.93
  5. Step 5: Solve for x
    x = 35,421,320,832.93/229,375.95
  6. Step 6: Final answer
    x = 154,424.74

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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.