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Finding the Fourth Proportional to 231,327.64, 319,234.62 and 135,835.48

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Solution

The fourth proportional to 231,327.64, 319,234.62 and 135,835.48 is: 187,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,327.64 : 319,234.62 = 135,835.48 : x
  2. Step 2: Convert to fraction form
    231,327.64/319,234.62 = 135,835.48/x
  3. Step 3: Cross multiply
    231,327.64x = 319,234.62 × 135,835.48
  4. Step 4: Simplify right side
    231,327.64x = 43,363,387,840.32
  5. Step 5: Solve for x
    x = 43,363,387,840.32/231,327.64
  6. Step 6: Final answer
    x = 187,454.42

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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.