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Finding the Fourth Proportional to 159,945.75, 239,848.70 and 85,047.75

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Solution

The fourth proportional to 159,945.75, 239,848.70 and 85,047.75 is: 127,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,945.75 : 239,848.70 = 85,047.75 : x
  2. Step 2: Convert to fraction form
    159,945.75/239,848.70 = 85,047.75/x
  3. Step 3: Cross multiply
    159,945.75x = 239,848.70 × 85,047.75
  4. Step 4: Simplify right side
    159,945.75x = 20,398,591,850.19
  5. Step 5: Solve for x
    x = 20,398,591,850.19/159,945.75
  6. Step 6: Final answer
    x = 127,534.44

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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.