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Finding the Fourth Proportional to 78,128.80, 117,235.87 and 33,143.21

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Solution

The fourth proportional to 78,128.80, 117,235.87 and 33,143.21 is: 49,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128.80 : 117,235.87 = 33,143.21 : x
  2. Step 2: Convert to fraction form
    78,128.80/117,235.87 = 33,143.21/x
  3. Step 3: Cross multiply
    78,128.80x = 117,235.87 × 33,143.21
  4. Step 4: Simplify right side
    78,128.80x = 3,885,573,015.97
  5. Step 5: Solve for x
    x = 3,885,573,015.97/78,128.80
  6. Step 6: Final answer
    x = 49,732.91

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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.