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Finding the Fourth Proportional to 66,982.72, 100,476.51 and 20,236

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Solution

The fourth proportional to 66,982.72, 100,476.51 and 20,236 is: 30,354.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,982.72 : 100,476.51 = 20,236 : x
  2. Step 2: Convert to fraction form
    66,982.72/100,476.51 = 20,236/x
  3. Step 3: Cross multiply
    66,982.72x = 100,476.51 × 20,236
  4. Step 4: Simplify right side
    66,982.72x = 2,033,242,656.36
  5. Step 5: Solve for x
    x = 2,033,242,656.36/66,982.72
  6. Step 6: Final answer
    x = 30,354.73

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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.