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Finding the Fourth Proportional to 149,328, 206,072.64 and 82,264.32

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Solution

The fourth proportional to 149,328, 206,072.64 and 82,264.32 is: 113,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,328 : 206,072.64 = 82,264.32 : x
  2. Step 2: Convert to fraction form
    149,328/206,072.64 = 82,264.32/x
  3. Step 3: Cross multiply
    149,328x = 206,072.64 × 82,264.32
  4. Step 4: Simplify right side
    149,328x = 16,952,425,600.20
  5. Step 5: Solve for x
    x = 16,952,425,600.20/149,328
  6. Step 6: Final answer
    x = 113,524.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.