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Finding the Fourth Proportional to 68,193.30, 102,287.53 and 20,806.48

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Solution

The fourth proportional to 68,193.30, 102,287.53 and 20,806.48 is: 31,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,193.30 : 102,287.53 = 20,806.48 : x
  2. Step 2: Convert to fraction form
    68,193.30/102,287.53 = 20,806.48/x
  3. Step 3: Cross multiply
    68,193.30x = 102,287.53 × 20,806.48
  4. Step 4: Simplify right side
    68,193.30x = 2,128,242,831.72
  5. Step 5: Solve for x
    x = 2,128,242,831.72/68,193.30
  6. Step 6: Final answer
    x = 31,208.97

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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.