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Finding the Fourth Proportional to 57,589.98, 86,421.90 and 39,768.66

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Solution

The fourth proportional to 57,589.98, 86,421.90 and 39,768.66 is: 59,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,589.98 : 86,421.90 = 39,768.66 : x
  2. Step 2: Convert to fraction form
    57,589.98/86,421.90 = 39,768.66/x
  3. Step 3: Cross multiply
    57,589.98x = 86,421.90 × 39,768.66
  4. Step 4: Simplify right side
    57,589.98x = 3,436,883,157.65
  5. Step 5: Solve for x
    x = 3,436,883,157.65/57,589.98
  6. Step 6: Final answer
    x = 59,678.49

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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.