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Finding the Fourth Proportional to 57,759.76, 86,613.72 and 26,578

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Solution

The fourth proportional to 57,759.76, 86,613.72 and 26,578 is: 39,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,759.76 : 86,613.72 = 26,578 : x
  2. Step 2: Convert to fraction form
    57,759.76/86,613.72 = 26,578/x
  3. Step 3: Cross multiply
    57,759.76x = 86,613.72 × 26,578
  4. Step 4: Simplify right side
    57,759.76x = 2,302,019,450.16
  5. Step 5: Solve for x
    x = 2,302,019,450.16/57,759.76
  6. Step 6: Final answer
    x = 39,855.07

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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.