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Finding the Fourth Proportional to 159,450, 220,041 and 87,829.80

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Solution

The fourth proportional to 159,450, 220,041 and 87,829.80 is: 121,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,450 : 220,041 = 87,829.80 : x
  2. Step 2: Convert to fraction form
    159,450/220,041 = 87,829.80/x
  3. Step 3: Cross multiply
    159,450x = 220,041 × 87,829.80
  4. Step 4: Simplify right side
    159,450x = 19,326,157,021.80
  5. Step 5: Solve for x
    x = 19,326,157,021.80/159,450
  6. Step 6: Final answer
    x = 121,205.12

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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.