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Finding the Fourth Proportional to 54,745.86, 82,064.10 and 47,218.94

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Solution

The fourth proportional to 54,745.86, 82,064.10 and 47,218.94 is: 70,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,745.86 : 82,064.10 = 47,218.94 : x
  2. Step 2: Convert to fraction form
    54,745.86/82,064.10 = 47,218.94/x
  3. Step 3: Cross multiply
    54,745.86x = 82,064.10 × 47,218.94
  4. Step 4: Simplify right side
    54,745.86x = 3,874,979,814.05
  5. Step 5: Solve for x
    x = 3,874,979,814.05/54,745.86
  6. Step 6: Final answer
    x = 70,781.24

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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.