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Finding the Fourth Proportional to 159,449.50, 220,040.31 and 87,829.30

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Solution

The fourth proportional to 159,449.50, 220,040.31 and 87,829.30 is: 121,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,449.50 : 220,040.31 = 87,829.30 : x
  2. Step 2: Convert to fraction form
    159,449.50/220,040.31 = 87,829.30/x
  3. Step 3: Cross multiply
    159,449.50x = 220,040.31 × 87,829.30
  4. Step 4: Simplify right side
    159,449.50x = 19,325,986,399.08
  5. Step 5: Solve for x
    x = 19,325,986,399.08/159,449.50
  6. Step 6: Final answer
    x = 121,204.43

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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.