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Finding the Fourth Proportional to 42,671.92, 63,976.84 and 20,174.64

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Solution

The fourth proportional to 42,671.92, 63,976.84 and 20,174.64 is: 30,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,671.92 : 63,976.84 = 20,174.64 : x
  2. Step 2: Convert to fraction form
    42,671.92/63,976.84 = 20,174.64/x
  3. Step 3: Cross multiply
    42,671.92x = 63,976.84 × 20,174.64
  4. Step 4: Simplify right side
    42,671.92x = 1,290,709,715.34
  5. Step 5: Solve for x
    x = 1,290,709,715.34/42,671.92
  6. Step 6: Final answer
    x = 30,247.28

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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.