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Finding the Fourth Proportional to 42,505.56, 63,747.41 and 20,314.80

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Solution

The fourth proportional to 42,505.56, 63,747.41 and 20,314.80 is: 30,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,505.56 : 63,747.41 = 20,314.80 : x
  2. Step 2: Convert to fraction form
    42,505.56/63,747.41 = 20,314.80/x
  3. Step 3: Cross multiply
    42,505.56x = 63,747.41 × 20,314.80
  4. Step 4: Simplify right side
    42,505.56x = 1,295,015,783.09
  5. Step 5: Solve for x
    x = 1,295,015,783.09/42,505.56
  6. Step 6: Final answer
    x = 30,466.97

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1.5x scale

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.