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Finding the Fourth Proportional to 206,735.72, 310,093.86 and 121,394.12

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Solution

The fourth proportional to 206,735.72, 310,093.86 and 121,394.12 is: 182,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,735.72 : 310,093.86 = 121,394.12 : x
  2. Step 2: Convert to fraction form
    206,735.72/310,093.86 = 121,394.12/x
  3. Step 3: Cross multiply
    206,735.72x = 310,093.86 × 121,394.12
  4. Step 4: Simplify right side
    206,735.72x = 37,643,571,252.10
  5. Step 5: Solve for x
    x = 37,643,571,252.10/206,735.72
  6. Step 6: Final answer
    x = 182,085.47

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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.