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Finding the Fourth Proportional to 57,756.29, 86,592.44 and 38,990

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Solution

The fourth proportional to 57,756.29, 86,592.44 and 38,990 is: 58,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,756.29 : 86,592.44 = 38,990 : x
  2. Step 2: Convert to fraction form
    57,756.29/86,592.44 = 38,990/x
  3. Step 3: Cross multiply
    57,756.29x = 86,592.44 × 38,990
  4. Step 4: Simplify right side
    57,756.29x = 3,376,239,040.65
  5. Step 5: Solve for x
    x = 3,376,239,040.65/57,756.29
  6. Step 6: Final answer
    x = 58,456.65

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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.