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Finding the Fourth Proportional to 138,771.11, 191,503.81 and 75,108.96

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Solution

The fourth proportional to 138,771.11, 191,503.81 and 75,108.96 is: 103,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771.11 : 191,503.81 = 75,108.96 : x
  2. Step 2: Convert to fraction form
    138,771.11/191,503.81 = 75,108.96/x
  3. Step 3: Cross multiply
    138,771.11x = 191,503.81 × 75,108.96
  4. Step 4: Simplify right side
    138,771.11x = 14,383,652,005.14
  5. Step 5: Solve for x
    x = 14,383,652,005.14/138,771.11
  6. Step 6: Final answer
    x = 103,650.19

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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.