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Finding the Fourth Proportional to 84,517.70, 126,840.81 and 31,260.06

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Solution

The fourth proportional to 84,517.70, 126,840.81 and 31,260.06 is: 46,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,517.70 : 126,840.81 = 31,260.06 : x
  2. Step 2: Convert to fraction form
    84,517.70/126,840.81 = 31,260.06/x
  3. Step 3: Cross multiply
    84,517.70x = 126,840.81 × 31,260.06
  4. Step 4: Simplify right side
    84,517.70x = 3,965,051,448.27
  5. Step 5: Solve for x
    x = 3,965,051,448.27/84,517.70
  6. Step 6: Final answer
    x = 46,913.86

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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.