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Finding the Fourth Proportional to 57,286, 79,104.84 and 35,812.42

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Solution

The fourth proportional to 57,286, 79,104.84 and 35,812.42 is: 49,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,286 : 79,104.84 = 35,812.42 : x
  2. Step 2: Convert to fraction form
    57,286/79,104.84 = 35,812.42/x
  3. Step 3: Cross multiply
    57,286x = 79,104.84 × 35,812.42
  4. Step 4: Simplify right side
    57,286x = 2,832,935,754.11
  5. Step 5: Solve for x
    x = 2,832,935,754.11/57,286
  6. Step 6: Final answer
    x = 49,452.50

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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.