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Finding the Fourth Proportional to 137,902.90, 206,902.95 and 133,042.90

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Solution

The fourth proportional to 137,902.90, 206,902.95 and 133,042.90 is: 199,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,902.90 : 206,902.95 = 133,042.90 : x
  2. Step 2: Convert to fraction form
    137,902.90/206,902.95 = 133,042.90/x
  3. Step 3: Cross multiply
    137,902.90x = 206,902.95 × 133,042.90
  4. Step 4: Simplify right side
    137,902.90x = 27,526,968,486.56
  5. Step 5: Solve for x
    x = 27,526,968,486.56/137,902.90
  6. Step 6: Final answer
    x = 199,611.24

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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.