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Finding the Fourth Proportional to 216,014.09, 324,009 and 66,253.97

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Solution

The fourth proportional to 216,014.09, 324,009 and 66,253.97 is: 99,377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,014.09 : 324,009 = 66,253.97 : x
  2. Step 2: Convert to fraction form
    216,014.09/324,009 = 66,253.97/x
  3. Step 3: Cross multiply
    216,014.09x = 324,009 × 66,253.97
  4. Step 4: Simplify right side
    216,014.09x = 21,466,880,945.69
  5. Step 5: Solve for x
    x = 21,466,880,945.69/216,014.09
  6. Step 6: Final answer
    x = 99,377.23

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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.