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Finding the Fourth Proportional to 68,233.76, 102,272.88 and 31,220

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Solution

The fourth proportional to 68,233.76, 102,272.88 and 31,220 is: 46,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,233.76 : 102,272.88 = 31,220 : x
  2. Step 2: Convert to fraction form
    68,233.76/102,272.88 = 31,220/x
  3. Step 3: Cross multiply
    68,233.76x = 102,272.88 × 31,220
  4. Step 4: Simplify right side
    68,233.76x = 3,192,959,313.60
  5. Step 5: Solve for x
    x = 3,192,959,313.60/68,233.76
  6. Step 6: Final answer
    x = 46,794.42

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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.