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Finding the Fourth Proportional to 128,357.46, 192,456 and 49,377.60

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Solution

The fourth proportional to 128,357.46, 192,456 and 49,377.60 is: 74,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,357.46 : 192,456 = 49,377.60 : x
  2. Step 2: Convert to fraction form
    128,357.46/192,456 = 49,377.60/x
  3. Step 3: Cross multiply
    128,357.46x = 192,456 × 49,377.60
  4. Step 4: Simplify right side
    128,357.46x = 9,503,015,385.60
  5. Step 5: Solve for x
    x = 9,503,015,385.60/128,357.46
  6. Step 6: Final answer
    x = 74,035.55

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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.