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Finding the Fourth Proportional to 149,450.70, 206,239.15 and 81,468.30

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Solution

The fourth proportional to 149,450.70, 206,239.15 and 81,468.30 is: 112,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,450.70 : 206,239.15 = 81,468.30 : x
  2. Step 2: Convert to fraction form
    149,450.70/206,239.15 = 81,468.30/x
  3. Step 3: Cross multiply
    149,450.70x = 206,239.15 × 81,468.30
  4. Step 4: Simplify right side
    149,450.70x = 16,801,952,943.95
  5. Step 5: Solve for x
    x = 16,801,952,943.95/149,450.70
  6. Step 6: Final answer
    x = 112,424.72

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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.