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Finding the Fourth Proportional to 78,040.80, 117,033.12 and 33,648.48

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Solution

The fourth proportional to 78,040.80, 117,033.12 and 33,648.48 is: 50,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,040.80 : 117,033.12 = 33,648.48 : x
  2. Step 2: Convert to fraction form
    78,040.80/117,033.12 = 33,648.48/x
  3. Step 3: Cross multiply
    78,040.80x = 117,033.12 × 33,648.48
  4. Step 4: Simplify right side
    78,040.80x = 3,937,986,597.66
  5. Step 5: Solve for x
    x = 3,937,986,597.66/78,040.80
  6. Step 6: Final answer
    x = 50,460.61

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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.