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Finding the Fourth Proportional to 71,763.20, 107,601.60 and 36,771.20

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Solution

The fourth proportional to 71,763.20, 107,601.60 and 36,771.20 is: 55,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,763.20 : 107,601.60 = 36,771.20 : x
  2. Step 2: Convert to fraction form
    71,763.20/107,601.60 = 36,771.20/x
  3. Step 3: Cross multiply
    71,763.20x = 107,601.60 × 36,771.20
  4. Step 4: Simplify right side
    71,763.20x = 3,956,639,953.92
  5. Step 5: Solve for x
    x = 3,956,639,953.92/71,763.20
  6. Step 6: Final answer
    x = 55,134.66

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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.