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Finding the Fourth Proportional to 71,326.44, 106,976.70 and 21,394.80

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Solution

The fourth proportional to 71,326.44, 106,976.70 and 21,394.80 is: 32,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,326.44 : 106,976.70 = 21,394.80 : x
  2. Step 2: Convert to fraction form
    71,326.44/106,976.70 = 21,394.80/x
  3. Step 3: Cross multiply
    71,326.44x = 106,976.70 × 21,394.80
  4. Step 4: Simplify right side
    71,326.44x = 2,288,745,101.16
  5. Step 5: Solve for x
    x = 2,288,745,101.16/71,326.44
  6. Step 6: Final answer
    x = 32,088.31

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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.