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Finding the Fourth Proportional to 140,016.56, 209,959.22 and 51,207.95

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Solution

The fourth proportional to 140,016.56, 209,959.22 and 51,207.95 is: 76,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,016.56 : 209,959.22 = 51,207.95 : x
  2. Step 2: Convert to fraction form
    140,016.56/209,959.22 = 51,207.95/x
  3. Step 3: Cross multiply
    140,016.56x = 209,959.22 × 51,207.95
  4. Step 4: Simplify right side
    140,016.56x = 10,751,581,892.72
  5. Step 5: Solve for x
    x = 10,751,581,892.72/140,016.56
  6. Step 6: Final answer
    x = 76,787.93

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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.