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Finding the Fourth Proportional to 138,770, 191,502.24 and 75,107.78

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Solution

The fourth proportional to 138,770, 191,502.24 and 75,107.78 is: 103,648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770 : 191,502.24 = 75,107.78 : x
  2. Step 2: Convert to fraction form
    138,770/191,502.24 = 75,107.78/x
  3. Step 3: Cross multiply
    138,770x = 191,502.24 × 75,107.78
  4. Step 4: Simplify right side
    138,770x = 14,383,308,111.43
  5. Step 5: Solve for x
    x = 14,383,308,111.43/138,770
  6. Step 6: Final answer
    x = 103,648.54

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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.