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Finding the Fourth Proportional to 138,996.86, 191,815.54 and 75,334.64

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Solution

The fourth proportional to 138,996.86, 191,815.54 and 75,334.64 is: 103,961.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,996.86 : 191,815.54 = 75,334.64 : x
  2. Step 2: Convert to fraction form
    138,996.86/191,815.54 = 75,334.64/x
  3. Step 3: Cross multiply
    138,996.86x = 191,815.54 × 75,334.64
  4. Step 4: Simplify right side
    138,996.86x = 14,450,354,652.31
  5. Step 5: Solve for x
    x = 14,450,354,652.31/138,996.86
  6. Step 6: Final answer
    x = 103,961.73

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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.