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Finding the Fourth Proportional to 107,761.62, 161,192.30 and 75,738.45

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Solution

The fourth proportional to 107,761.62, 161,192.30 and 75,738.45 is: 113,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,761.62 : 161,192.30 = 75,738.45 : x
  2. Step 2: Convert to fraction form
    107,761.62/161,192.30 = 75,738.45/x
  3. Step 3: Cross multiply
    107,761.62x = 161,192.30 × 75,738.45
  4. Step 4: Simplify right side
    107,761.62x = 12,208,454,575.24
  5. Step 5: Solve for x
    x = 12,208,454,575.24/107,761.62
  6. Step 6: Final answer
    x = 113,291.31

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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.