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Finding the Fourth Proportional to 78,200.79, 117,213.71 and 33,760.95

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Solution

The fourth proportional to 78,200.79, 117,213.71 and 33,760.95 is: 50,603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,200.79 : 117,213.71 = 33,760.95 : x
  2. Step 2: Convert to fraction form
    78,200.79/117,213.71 = 33,760.95/x
  3. Step 3: Cross multiply
    78,200.79x = 117,213.71 × 33,760.95
  4. Step 4: Simplify right side
    78,200.79x = 3,957,246,033.82
  5. Step 5: Solve for x
    x = 3,957,246,033.82/78,200.79
  6. Step 6: Final answer
    x = 50,603.66

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1.5x scale

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.