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Finding the Fourth Proportional to 137,381.45, 206,131.44 and 74,189

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Solution

The fourth proportional to 137,381.45, 206,131.44 and 74,189 is: 111,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,381.45 : 206,131.44 = 74,189 : x
  2. Step 2: Convert to fraction form
    137,381.45/206,131.44 = 74,189/x
  3. Step 3: Cross multiply
    137,381.45x = 206,131.44 × 74,189
  4. Step 4: Simplify right side
    137,381.45x = 15,292,685,402.16
  5. Step 5: Solve for x
    x = 15,292,685,402.16/137,381.45
  6. Step 6: Final answer
    x = 111,315.50

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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.