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Finding the Fourth Proportional to 36,730, 55,103.64 and 12,106

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Solution

The fourth proportional to 36,730, 55,103.64 and 12,106 is: 18,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,730 : 55,103.64 = 12,106 : x
  2. Step 2: Convert to fraction form
    36,730/55,103.64 = 12,106/x
  3. Step 3: Cross multiply
    36,730x = 55,103.64 × 12,106
  4. Step 4: Simplify right side
    36,730x = 667,084,665.84
  5. Step 5: Solve for x
    x = 667,084,665.84/36,730
  6. Step 6: Final answer
    x = 18,161.85

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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.