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Finding the Fourth Proportional to 78,042.80, 117,036.12 and 33,650.48

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Solution

The fourth proportional to 78,042.80, 117,036.12 and 33,650.48 is: 50,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.80 : 117,036.12 = 33,650.48 : x
  2. Step 2: Convert to fraction form
    78,042.80/117,036.12 = 33,650.48/x
  3. Step 3: Cross multiply
    78,042.80x = 117,036.12 × 33,650.48
  4. Step 4: Simplify right side
    78,042.80x = 3,938,321,615.34
  5. Step 5: Solve for x
    x = 3,938,321,615.34/78,042.80
  6. Step 6: Final answer
    x = 50,463.61

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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.