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Finding the Fourth Proportional to 144,026.31, 198,736.54 and 80,351.80

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Solution

The fourth proportional to 144,026.31, 198,736.54 and 80,351.80 is: 110,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,026.31 : 198,736.54 = 80,351.80 : x
  2. Step 2: Convert to fraction form
    144,026.31/198,736.54 = 80,351.80/x
  3. Step 3: Cross multiply
    144,026.31x = 198,736.54 × 80,351.80
  4. Step 4: Simplify right side
    144,026.31x = 15,968,838,714.77
  5. Step 5: Solve for x
    x = 15,968,838,714.77/144,026.31
  6. Step 6: Final answer
    x = 110,874.46

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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.