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Finding the Fourth Proportional to 36,778, 55,183.20 and 12,154

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Solution

The fourth proportional to 36,778, 55,183.20 and 12,154 is: 18,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778 : 55,183.20 = 12,154 : x
  2. Step 2: Convert to fraction form
    36,778/55,183.20 = 12,154/x
  3. Step 3: Cross multiply
    36,778x = 55,183.20 × 12,154
  4. Step 4: Simplify right side
    36,778x = 670,696,612.80
  5. Step 5: Solve for x
    x = 670,696,612.80/36,778
  6. Step 6: Final answer
    x = 18,236.35

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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.