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Finding the Fourth Proportional to 137,969.84, 190,399.14 and 80,612.53

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Solution

The fourth proportional to 137,969.84, 190,399.14 and 80,612.53 is: 111,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,969.84 : 190,399.14 = 80,612.53 : x
  2. Step 2: Convert to fraction form
    137,969.84/190,399.14 = 80,612.53/x
  3. Step 3: Cross multiply
    137,969.84x = 190,399.14 × 80,612.53
  4. Step 4: Simplify right side
    137,969.84x = 15,348,555,909.23
  5. Step 5: Solve for x
    x = 15,348,555,909.23/137,969.84
  6. Step 6: Final answer
    x = 111,245.73

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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.