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Finding the Fourth Proportional to 49,790, 74,658.60 and 14,724.80

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Solution

The fourth proportional to 49,790, 74,658.60 and 14,724.80 is: 22,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,790 : 74,658.60 = 14,724.80 : x
  2. Step 2: Convert to fraction form
    49,790/74,658.60 = 14,724.80/x
  3. Step 3: Cross multiply
    49,790x = 74,658.60 × 14,724.80
  4. Step 4: Simplify right side
    49,790x = 1,099,332,953.28
  5. Step 5: Solve for x
    x = 1,099,332,953.28/49,790
  6. Step 6: Final answer
    x = 22,079.39

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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.