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Finding the Fourth Proportional to 149,907.40, 206,872.08 and 82,839.40

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Solution

The fourth proportional to 149,907.40, 206,872.08 and 82,839.40 is: 114,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,907.40 : 206,872.08 = 82,839.40 : x
  2. Step 2: Convert to fraction form
    149,907.40/206,872.08 = 82,839.40/x
  3. Step 3: Cross multiply
    149,907.40x = 206,872.08 × 82,839.40
  4. Step 4: Simplify right side
    149,907.40x = 17,137,158,983.95
  5. Step 5: Solve for x
    x = 17,137,158,983.95/149,907.40
  6. Step 6: Final answer
    x = 114,318.30

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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.