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Finding the Fourth Proportional to 84,661, 126,976.98 and 39,686.92

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Solution

The fourth proportional to 84,661, 126,976.98 and 39,686.92 is: 59,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,661 : 126,976.98 = 39,686.92 : x
  2. Step 2: Convert to fraction form
    84,661/126,976.98 = 39,686.92/x
  3. Step 3: Cross multiply
    84,661x = 126,976.98 × 39,686.92
  4. Step 4: Simplify right side
    84,661x = 5,039,325,247.10
  5. Step 5: Solve for x
    x = 5,039,325,247.10/84,661
  6. Step 6: Final answer
    x = 59,523.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.