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Finding the Fourth Proportional to 138,550.92, 191,201.14 and 74,888.56

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Solution

The fourth proportional to 138,550.92, 191,201.14 and 74,888.56 is: 103,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,550.92 : 191,201.14 = 74,888.56 : x
  2. Step 2: Convert to fraction form
    138,550.92/191,201.14 = 74,888.56/x
  3. Step 3: Cross multiply
    138,550.92x = 191,201.14 × 74,888.56
  4. Step 4: Simplify right side
    138,550.92x = 14,318,778,044.96
  5. Step 5: Solve for x
    x = 14,318,778,044.96/138,550.92
  6. Step 6: Final answer
    x = 103,346.68

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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.