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Finding the Fourth Proportional to 87,089, 120,183.78 and 47,345

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Solution

The fourth proportional to 87,089, 120,183.78 and 47,345 is: 65,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,089 : 120,183.78 = 47,345 : x
  2. Step 2: Convert to fraction form
    87,089/120,183.78 = 47,345/x
  3. Step 3: Cross multiply
    87,089x = 120,183.78 × 47,345
  4. Step 4: Simplify right side
    87,089x = 5,690,101,064.10
  5. Step 5: Solve for x
    x = 5,690,101,064.10/87,089
  6. Step 6: Final answer
    x = 65,336.62

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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.