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Finding the Fourth Proportional to 82,757.99, 124,039.74 and 38,290.82

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Solution

The fourth proportional to 82,757.99, 124,039.74 and 38,290.82 is: 57,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,757.99 : 124,039.74 = 38,290.82 : x
  2. Step 2: Convert to fraction form
    82,757.99/124,039.74 = 38,290.82/x
  3. Step 3: Cross multiply
    82,757.99x = 124,039.74 × 38,290.82
  4. Step 4: Simplify right side
    82,757.99x = 4,749,583,357.19
  5. Step 5: Solve for x
    x = 4,749,583,357.19/82,757.99
  6. Step 6: Final answer
    x = 57,391.24

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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.