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Finding the Fourth Proportional to 49,910.50, 74,897.86 and 19,919.60

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Solution

The fourth proportional to 49,910.50, 74,897.86 and 19,919.60 is: 29,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,910.50 : 74,897.86 = 19,919.60 : x
  2. Step 2: Convert to fraction form
    49,910.50/74,897.86 = 19,919.60/x
  3. Step 3: Cross multiply
    49,910.50x = 74,897.86 × 19,919.60
  4. Step 4: Simplify right side
    49,910.50x = 1,491,935,412.06
  5. Step 5: Solve for x
    x = 1,491,935,412.06/49,910.50
  6. Step 6: Final answer
    x = 29,892.22

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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.