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Finding the Fourth Proportional to 231,632, 319,652.16 and 131,027.84

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Solution

The fourth proportional to 231,632, 319,652.16 and 131,027.84 is: 180,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,632 : 319,652.16 = 131,027.84 : x
  2. Step 2: Convert to fraction form
    231,632/319,652.16 = 131,027.84/x
  3. Step 3: Cross multiply
    231,632x = 319,652.16 × 131,027.84
  4. Step 4: Simplify right side
    231,632x = 41,883,332,076.13
  5. Step 5: Solve for x
    x = 41,883,332,076.13/231,632
  6. Step 6: Final answer
    x = 180,818.42

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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.