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Finding the Fourth Proportional to 84,116.77, 126,138.22 and 31,489.34

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Solution

The fourth proportional to 84,116.77, 126,138.22 and 31,489.34 is: 47,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,116.77 : 126,138.22 = 31,489.34 : x
  2. Step 2: Convert to fraction form
    84,116.77/126,138.22 = 31,489.34/x
  3. Step 3: Cross multiply
    84,116.77x = 126,138.22 × 31,489.34
  4. Step 4: Simplify right side
    84,116.77x = 3,972,008,587.16
  5. Step 5: Solve for x
    x = 3,972,008,587.16/84,116.77
  6. Step 6: Final answer
    x = 47,220.18

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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.