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Finding the Fourth Proportional to 96,302, 144,481.80 and 40,902.32

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Solution

The fourth proportional to 96,302, 144,481.80 and 40,902.32 is: 61,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,302 : 144,481.80 = 40,902.32 : x
  2. Step 2: Convert to fraction form
    96,302/144,481.80 = 40,902.32/x
  3. Step 3: Cross multiply
    96,302x = 144,481.80 × 40,902.32
  4. Step 4: Simplify right side
    96,302x = 5,909,640,817.78
  5. Step 5: Solve for x
    x = 5,909,640,817.78/96,302
  6. Step 6: Final answer
    x = 61,365.71

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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.