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Finding the Fourth Proportional to 137,144.50, 205,581.79 and 80,146.06

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Solution

The fourth proportional to 137,144.50, 205,581.79 and 80,146.06 is: 120,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,144.50 : 205,581.79 = 80,146.06 : x
  2. Step 2: Convert to fraction form
    137,144.50/205,581.79 = 80,146.06/x
  3. Step 3: Cross multiply
    137,144.50x = 205,581.79 × 80,146.06
  4. Step 4: Simplify right side
    137,144.50x = 16,476,570,476.25
  5. Step 5: Solve for x
    x = 16,476,570,476.25/137,144.50
  6. Step 6: Final answer
    x = 120,140.22

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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.