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Finding the Fourth Proportional to 57,805.76, 79,748.34 and 45,821

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Solution

The fourth proportional to 57,805.76, 79,748.34 and 45,821 is: 63,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.76 : 79,748.34 = 45,821 : x
  2. Step 2: Convert to fraction form
    57,805.76/79,748.34 = 45,821/x
  3. Step 3: Cross multiply
    57,805.76x = 79,748.34 × 45,821
  4. Step 4: Simplify right side
    57,805.76x = 3,654,148,687.14
  5. Step 5: Solve for x
    x = 3,654,148,687.14/57,805.76
  6. Step 6: Final answer
    x = 63,214.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.