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Finding the Fourth Proportional to 51,761.59, 77,658.78 and 18,480.91

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Solution

The fourth proportional to 51,761.59, 77,658.78 and 18,480.91 is: 27,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,761.59 : 77,658.78 = 18,480.91 : x
  2. Step 2: Convert to fraction form
    51,761.59/77,658.78 = 18,480.91/x
  3. Step 3: Cross multiply
    51,761.59x = 77,658.78 × 18,480.91
  4. Step 4: Simplify right side
    51,761.59x = 1,435,204,923.89
  5. Step 5: Solve for x
    x = 1,435,204,923.89/51,761.59
  6. Step 6: Final answer
    x = 27,727.22

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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.