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Finding the Fourth Proportional to 82,379.92, 123,590.64 and 38,037.76

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Solution

The fourth proportional to 82,379.92, 123,590.64 and 38,037.76 is: 57,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,379.92 : 123,590.64 = 38,037.76 : x
  2. Step 2: Convert to fraction form
    82,379.92/123,590.64 = 38,037.76/x
  3. Step 3: Cross multiply
    82,379.92x = 123,590.64 × 38,037.76
  4. Step 4: Simplify right side
    82,379.92x = 4,701,111,102.57
  5. Step 5: Solve for x
    x = 4,701,111,102.57/82,379.92
  6. Step 6: Final answer
    x = 57,066.23

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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.