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Finding the Fourth Proportional to 87,055, 120,136.66 and 47,311

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Solution

The fourth proportional to 87,055, 120,136.66 and 47,311 is: 65,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,055 : 120,136.66 = 47,311 : x
  2. Step 2: Convert to fraction form
    87,055/120,136.66 = 47,311/x
  3. Step 3: Cross multiply
    87,055x = 120,136.66 × 47,311
  4. Step 4: Simplify right side
    87,055x = 5,683,785,521.26
  5. Step 5: Solve for x
    x = 5,683,785,521.26/87,055
  6. Step 6: Final answer
    x = 65,289.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.