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Finding the Fourth Proportional to 167,765.81, 231,509.85 and 91,285.20

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Solution

The fourth proportional to 167,765.81, 231,509.85 and 91,285.20 is: 125,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,765.81 : 231,509.85 = 91,285.20 : x
  2. Step 2: Convert to fraction form
    167,765.81/231,509.85 = 91,285.20/x
  3. Step 3: Cross multiply
    167,765.81x = 231,509.85 × 91,285.20
  4. Step 4: Simplify right side
    167,765.81x = 21,133,422,959.22
  5. Step 5: Solve for x
    x = 21,133,422,959.22/167,765.81
  6. Step 6: Final answer
    x = 125,969.79

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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.