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Finding the Fourth Proportional to 84,116.40, 126,171.76 and 20,936.40

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Solution

The fourth proportional to 84,116.40, 126,171.76 and 20,936.40 is: 31,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,116.40 : 126,171.76 = 20,936.40 : x
  2. Step 2: Convert to fraction form
    84,116.40/126,171.76 = 20,936.40/x
  3. Step 3: Cross multiply
    84,116.40x = 126,171.76 × 20,936.40
  4. Step 4: Simplify right side
    84,116.40x = 2,641,582,436.06
  5. Step 5: Solve for x
    x = 2,641,582,436.06/84,116.40
  6. Step 6: Final answer
    x = 31,403.89

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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.