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Finding the Fourth Proportional to 138,874.79, 191,662.81 and 78,449.33

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Solution

The fourth proportional to 138,874.79, 191,662.81 and 78,449.33 is: 108,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.79 : 191,662.81 = 78,449.33 : x
  2. Step 2: Convert to fraction form
    138,874.79/191,662.81 = 78,449.33/x
  3. Step 3: Cross multiply
    138,874.79x = 191,662.81 × 78,449.33
  4. Step 4: Simplify right side
    138,874.79x = 15,035,819,313.45
  5. Step 5: Solve for x
    x = 15,035,819,313.45/138,874.79
  6. Step 6: Final answer
    x = 108,268.89

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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.