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Finding the Fourth Proportional to 144,035.70, 198,749.61 and 80,365.38

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Solution

The fourth proportional to 144,035.70, 198,749.61 and 80,365.38 is: 110,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,035.70 : 198,749.61 = 80,365.38 : x
  2. Step 2: Convert to fraction form
    144,035.70/198,749.61 = 80,365.38/x
  3. Step 3: Cross multiply
    144,035.70x = 198,749.61 × 80,365.38
  4. Step 4: Simplify right side
    144,035.70x = 15,972,587,932.50
  5. Step 5: Solve for x
    x = 15,972,587,932.50/144,035.70
  6. Step 6: Final answer
    x = 110,893.26

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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.