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Finding the Fourth Proportional to 105,980, 159,042.92 and 43,650.52

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Solution

The fourth proportional to 105,980, 159,042.92 and 43,650.52 is: 65,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,980 : 159,042.92 = 43,650.52 : x
  2. Step 2: Convert to fraction form
    105,980/159,042.92 = 43,650.52/x
  3. Step 3: Cross multiply
    105,980x = 159,042.92 × 43,650.52
  4. Step 4: Simplify right side
    105,980x = 6,942,306,160.32
  5. Step 5: Solve for x
    x = 6,942,306,160.32/105,980
  6. Step 6: Final answer
    x = 65,505.81

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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.