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Finding the Fourth Proportional to 71,320.80, 106,981.20 and 36,328.80

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Solution

The fourth proportional to 71,320.80, 106,981.20 and 36,328.80 is: 54,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,320.80 : 106,981.20 = 36,328.80 : x
  2. Step 2: Convert to fraction form
    71,320.80/106,981.20 = 36,328.80/x
  3. Step 3: Cross multiply
    71,320.80x = 106,981.20 × 36,328.80
  4. Step 4: Simplify right side
    71,320.80x = 3,886,498,618.56
  5. Step 5: Solve for x
    x = 3,886,498,618.56/71,320.80
  6. Step 6: Final answer
    x = 54,493.20

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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.