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Finding the Fourth Proportional to 71,339.90, 106,984.61 and 20,728.40

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Solution

The fourth proportional to 71,339.90, 106,984.61 and 20,728.40 is: 31,085.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,339.90 : 106,984.61 = 20,728.40 : x
  2. Step 2: Convert to fraction form
    71,339.90/106,984.61 = 20,728.40/x
  3. Step 3: Cross multiply
    71,339.90x = 106,984.61 × 20,728.40
  4. Step 4: Simplify right side
    71,339.90x = 2,217,619,789.92
  5. Step 5: Solve for x
    x = 2,217,619,789.92/71,339.90
  6. Step 6: Final answer
    x = 31,085.27

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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.