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Finding the Fourth Proportional to 213,863.82, 321,210.92 and 157,481.25

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Solution

The fourth proportional to 213,863.82, 321,210.92 and 157,481.25 is: 236,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,863.82 : 321,210.92 = 157,481.25 : x
  2. Step 2: Convert to fraction form
    213,863.82/321,210.92 = 157,481.25/x
  3. Step 3: Cross multiply
    213,863.82x = 321,210.92 × 157,481.25
  4. Step 4: Simplify right side
    213,863.82x = 50,584,696,407.84
  5. Step 5: Solve for x
    x = 50,584,696,407.84/213,863.82
  6. Step 6: Final answer
    x = 236,527.60

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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.