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Finding the Fourth Proportional to 232,086, 320,279 and 131,490.80

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Solution

The fourth proportional to 232,086, 320,279 and 131,490.80 is: 181,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,086 : 320,279 = 131,490.80 : x
  2. Step 2: Convert to fraction form
    232,086/320,279 = 131,490.80/x
  3. Step 3: Cross multiply
    232,086x = 320,279 × 131,490.80
  4. Step 4: Simplify right side
    232,086x = 42,113,741,933.20
  5. Step 5: Solve for x
    x = 42,113,741,933.20/232,086
  6. Step 6: Final answer
    x = 181,457.49

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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.