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Finding the Fourth Proportional to 135,083.79, 186,438.78 and 78,527.97

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Solution

The fourth proportional to 135,083.79, 186,438.78 and 78,527.97 is: 108,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,083.79 : 186,438.78 = 78,527.97 : x
  2. Step 2: Convert to fraction form
    135,083.79/186,438.78 = 78,527.97/x
  3. Step 3: Cross multiply
    135,083.79x = 186,438.78 × 78,527.97
  4. Step 4: Simplify right side
    135,083.79x = 14,640,658,922.68
  5. Step 5: Solve for x
    x = 14,640,658,922.68/135,083.79
  6. Step 6: Final answer
    x = 108,382.06

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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.