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Finding the Fourth Proportional to 101,990.46, 140,707.52 and 75,196.56

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Solution

The fourth proportional to 101,990.46, 140,707.52 and 75,196.56 is: 103,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,990.46 : 140,707.52 = 75,196.56 : x
  2. Step 2: Convert to fraction form
    101,990.46/140,707.52 = 75,196.56/x
  3. Step 3: Cross multiply
    101,990.46x = 140,707.52 × 75,196.56
  4. Step 4: Simplify right side
    101,990.46x = 10,580,721,470.13
  5. Step 5: Solve for x
    x = 10,580,721,470.13/101,990.46
  6. Step 6: Final answer
    x = 103,742.27

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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.