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Finding the Fourth Proportional to 137,880.82, 190,246.01 and 80,494.08

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Solution

The fourth proportional to 137,880.82, 190,246.01 and 80,494.08 is: 111,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,880.82 : 190,246.01 = 80,494.08 : x
  2. Step 2: Convert to fraction form
    137,880.82/190,246.01 = 80,494.08/x
  3. Step 3: Cross multiply
    137,880.82x = 190,246.01 × 80,494.08
  4. Step 4: Simplify right side
    137,880.82x = 15,313,677,548.62
  5. Step 5: Solve for x
    x = 15,313,677,548.62/137,880.82
  6. Step 6: Final answer
    x = 111,064.60

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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.