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Finding the Fourth Proportional to 42,392, 63,559.92 and 20,208.80

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Solution

The fourth proportional to 42,392, 63,559.92 and 20,208.80 is: 30,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,392 : 63,559.92 = 20,208.80 : x
  2. Step 2: Convert to fraction form
    42,392/63,559.92 = 20,208.80/x
  3. Step 3: Cross multiply
    42,392x = 63,559.92 × 20,208.80
  4. Step 4: Simplify right side
    42,392x = 1,284,469,711.30
  5. Step 5: Solve for x
    x = 1,284,469,711.30/42,392
  6. Step 6: Final answer
    x = 30,299.81

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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.