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Finding the Fourth Proportional to 210,991.86, 316,269.09 and 131,924.52

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Solution

The fourth proportional to 210,991.86, 316,269.09 and 131,924.52 is: 197,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,991.86 : 316,269.09 = 131,924.52 : x
  2. Step 2: Convert to fraction form
    210,991.86/316,269.09 = 131,924.52/x
  3. Step 3: Cross multiply
    210,991.86x = 316,269.09 × 131,924.52
  4. Step 4: Simplify right side
    210,991.86x = 41,723,647,889.09
  5. Step 5: Solve for x
    x = 41,723,647,889.09/210,991.86
  6. Step 6: Final answer
    x = 197,750.04

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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.