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Finding the Fourth Proportional to 137,940.80, 206,911.20 and 71,401.33

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Solution

The fourth proportional to 137,940.80, 206,911.20 and 71,401.33 is: 107,101.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,940.80 : 206,911.20 = 71,401.33 : x
  2. Step 2: Convert to fraction form
    137,940.80/206,911.20 = 71,401.33/x
  3. Step 3: Cross multiply
    137,940.80x = 206,911.20 × 71,401.33
  4. Step 4: Simplify right side
    137,940.80x = 14,773,733,837.34
  5. Step 5: Solve for x
    x = 14,773,733,837.34/137,940.80
  6. Step 6: Final answer
    x = 107,101.99

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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.