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Finding the Fourth Proportional to 57,788.20, 86,660.70 and 40,205.80

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Solution

The fourth proportional to 57,788.20, 86,660.70 and 40,205.80 is: 60,293.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,788.20 : 86,660.70 = 40,205.80 : x
  2. Step 2: Convert to fraction form
    57,788.20/86,660.70 = 40,205.80/x
  3. Step 3: Cross multiply
    57,788.20x = 86,660.70 × 40,205.80
  4. Step 4: Simplify right side
    57,788.20x = 3,484,262,772.06
  5. Step 5: Solve for x
    x = 3,484,262,772.06/57,788.20
  6. Step 6: Final answer
    x = 60,293.67

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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.