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Finding the Fourth Proportional to 87,296, 120,462.81 and 51,477.80

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Solution

The fourth proportional to 87,296, 120,462.81 and 51,477.80 is: 71,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,296 : 120,462.81 = 51,477.80 : x
  2. Step 2: Convert to fraction form
    87,296/120,462.81 = 51,477.80/x
  3. Step 3: Cross multiply
    87,296x = 120,462.81 × 51,477.80
  4. Step 4: Simplify right side
    87,296x = 6,201,160,440.62
  5. Step 5: Solve for x
    x = 6,201,160,440.62/87,296
  6. Step 6: Final answer
    x = 71,036.02

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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.