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Finding the Fourth Proportional to 48,708.20, 73,021.80 and 20,649.80

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Solution

The fourth proportional to 48,708.20, 73,021.80 and 20,649.80 is: 30,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,708.20 : 73,021.80 = 20,649.80 : x
  2. Step 2: Convert to fraction form
    48,708.20/73,021.80 = 20,649.80/x
  3. Step 3: Cross multiply
    48,708.20x = 73,021.80 × 20,649.80
  4. Step 4: Simplify right side
    48,708.20x = 1,507,885,565.64
  5. Step 5: Solve for x
    x = 1,507,885,565.64/48,708.20
  6. Step 6: Final answer
    x = 30,957.53

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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.