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Finding the Fourth Proportional to 140,017.56, 209,960.72 and 51,208.95

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Solution

The fourth proportional to 140,017.56, 209,960.72 and 51,208.95 is: 76,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,017.56 : 209,960.72 = 51,208.95 : x
  2. Step 2: Convert to fraction form
    140,017.56/209,960.72 = 51,208.95/x
  3. Step 3: Cross multiply
    140,017.56x = 209,960.72 × 51,208.95
  4. Step 4: Simplify right side
    140,017.56x = 10,751,868,012.44
  5. Step 5: Solve for x
    x = 10,751,868,012.44/140,017.56
  6. Step 6: Final answer
    x = 76,789.43

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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.