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Finding the Fourth Proportional to 54,939.62, 82,400.62 and 15,499.50

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Solution

The fourth proportional to 54,939.62, 82,400.62 and 15,499.50 is: 23,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,939.62 : 82,400.62 = 15,499.50 : x
  2. Step 2: Convert to fraction form
    54,939.62/82,400.62 = 15,499.50/x
  3. Step 3: Cross multiply
    54,939.62x = 82,400.62 × 15,499.50
  4. Step 4: Simplify right side
    54,939.62x = 1,277,168,409.69
  5. Step 5: Solve for x
    x = 1,277,168,409.69/54,939.62
  6. Step 6: Final answer
    x = 23,246.76

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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.