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Finding the Fourth Proportional to 231,967.72, 320,104.74 and 131,366.44

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Solution

The fourth proportional to 231,967.72, 320,104.74 and 131,366.44 is: 181,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,967.72 : 320,104.74 = 131,366.44 : x
  2. Step 2: Convert to fraction form
    231,967.72/320,104.74 = 131,366.44/x
  3. Step 3: Cross multiply
    231,967.72x = 320,104.74 × 131,366.44
  4. Step 4: Simplify right side
    231,967.72x = 42,051,020,120.93
  5. Step 5: Solve for x
    x = 42,051,020,120.93/231,967.72
  6. Step 6: Final answer
    x = 181,279.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.