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Finding the Fourth Proportional to 136,942.80, 205,414.20 and 77,960.40

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Solution

The fourth proportional to 136,942.80, 205,414.20 and 77,960.40 is: 116,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,942.80 : 205,414.20 = 77,960.40 : x
  2. Step 2: Convert to fraction form
    136,942.80/205,414.20 = 77,960.40/x
  3. Step 3: Cross multiply
    136,942.80x = 205,414.20 × 77,960.40
  4. Step 4: Simplify right side
    136,942.80x = 16,014,173,197.68
  5. Step 5: Solve for x
    x = 16,014,173,197.68/136,942.80
  6. Step 6: Final answer
    x = 116,940.60

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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.