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Finding the Fourth Proportional to 71,321.20, 106,981.80 and 26,949.40

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Solution

The fourth proportional to 71,321.20, 106,981.80 and 26,949.40 is: 40,424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,321.20 : 106,981.80 = 26,949.40 : x
  2. Step 2: Convert to fraction form
    71,321.20/106,981.80 = 26,949.40/x
  3. Step 3: Cross multiply
    71,321.20x = 106,981.80 × 26,949.40
  4. Step 4: Simplify right side
    71,321.20x = 2,883,095,320.92
  5. Step 5: Solve for x
    x = 2,883,095,320.92/71,321.20
  6. Step 6: Final answer
    x = 40,424.10

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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.