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Finding the Fourth Proportional to 125,394.80, 188,144.97 and 78,049.49

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Solution

The fourth proportional to 125,394.80, 188,144.97 and 78,049.49 is: 117,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,394.80 : 188,144.97 = 78,049.49 : x
  2. Step 2: Convert to fraction form
    125,394.80/188,144.97 = 78,049.49/x
  3. Step 3: Cross multiply
    125,394.80x = 188,144.97 × 78,049.49
  4. Step 4: Simplify right side
    125,394.80x = 14,684,618,564.32
  5. Step 5: Solve for x
    x = 14,684,618,564.32/125,394.80
  6. Step 6: Final answer
    x = 117,107.08

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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.