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Finding the Fourth Proportional to 167,905.32, 231,701.86 and 91,424.40

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Solution

The fourth proportional to 167,905.32, 231,701.86 and 91,424.40 is: 126,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,905.32 : 231,701.86 = 91,424.40 : x
  2. Step 2: Convert to fraction form
    167,905.32/231,701.86 = 91,424.40/x
  3. Step 3: Cross multiply
    167,905.32x = 231,701.86 × 91,424.40
  4. Step 4: Simplify right side
    167,905.32x = 21,183,203,529.38
  5. Step 5: Solve for x
    x = 21,183,203,529.38/167,905.32
  6. Step 6: Final answer
    x = 126,161.60

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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.