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Finding the Fourth Proportional to 216,151, 324,227.94 and 68,407

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Solution

The fourth proportional to 216,151, 324,227.94 and 68,407 is: 102,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,151 : 324,227.94 = 68,407 : x
  2. Step 2: Convert to fraction form
    216,151/324,227.94 = 68,407/x
  3. Step 3: Cross multiply
    216,151x = 324,227.94 × 68,407
  4. Step 4: Simplify right side
    216,151x = 22,179,460,691.58
  5. Step 5: Solve for x
    x = 22,179,460,691.58/216,151
  6. Step 6: Final answer
    x = 102,610.96

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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.