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Finding the Fourth Proportional to 49,980, 74,911.68 and 27,782.76

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Solution

The fourth proportional to 49,980, 74,911.68 and 27,782.76 is: 41,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,980 : 74,911.68 = 27,782.76 : x
  2. Step 2: Convert to fraction form
    49,980/74,911.68 = 27,782.76/x
  3. Step 3: Cross multiply
    49,980x = 74,911.68 × 27,782.76
  4. Step 4: Simplify right side
    49,980x = 2,081,253,226.64
  5. Step 5: Solve for x
    x = 2,081,253,226.64/49,980
  6. Step 6: Final answer
    x = 41,641.72

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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.