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Finding the Fourth Proportional to 159,235.41, 238,945.41 and 80,355.81

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Solution

The fourth proportional to 159,235.41, 238,945.41 and 80,355.81 is: 120,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,235.41 : 238,945.41 = 80,355.81 : x
  2. Step 2: Convert to fraction form
    159,235.41/238,945.41 = 80,355.81/x
  3. Step 3: Cross multiply
    159,235.41x = 238,945.41 × 80,355.81
  4. Step 4: Simplify right side
    159,235.41x = 19,200,651,966.33
  5. Step 5: Solve for x
    x = 19,200,651,966.33/159,235.41
  6. Step 6: Final answer
    x = 120,580.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.