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Finding the Fourth Proportional to 39,786.80, 59,680.20 and 16,400.48

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Solution

The fourth proportional to 39,786.80, 59,680.20 and 16,400.48 is: 24,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,786.80 : 59,680.20 = 16,400.48 : x
  2. Step 2: Convert to fraction form
    39,786.80/59,680.20 = 16,400.48/x
  3. Step 3: Cross multiply
    39,786.80x = 59,680.20 × 16,400.48
  4. Step 4: Simplify right side
    39,786.80x = 978,783,926.50
  5. Step 5: Solve for x
    x = 978,783,926.50/39,786.80
  6. Step 6: Final answer
    x = 24,600.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.