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Finding the Fourth Proportional to 231,669, 319,701.06 and 131,067

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Solution

The fourth proportional to 231,669, 319,701.06 and 131,067 is: 180,871.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,669 : 319,701.06 = 131,067 : x
  2. Step 2: Convert to fraction form
    231,669/319,701.06 = 131,067/x
  3. Step 3: Cross multiply
    231,669x = 319,701.06 × 131,067
  4. Step 4: Simplify right side
    231,669x = 41,902,258,831.02
  5. Step 5: Solve for x
    x = 41,902,258,831.02/231,669
  6. Step 6: Final answer
    x = 180,871.24

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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.