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Finding the Fourth Proportional to 129,914.82, 194,884.62 and 36,420.30

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Solution

The fourth proportional to 129,914.82, 194,884.62 and 36,420.30 is: 54,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,914.82 : 194,884.62 = 36,420.30 : x
  2. Step 2: Convert to fraction form
    129,914.82/194,884.62 = 36,420.30/x
  3. Step 3: Cross multiply
    129,914.82x = 194,884.62 × 36,420.30
  4. Step 4: Simplify right side
    129,914.82x = 7,097,756,325.79
  5. Step 5: Solve for x
    x = 7,097,756,325.79/129,914.82
  6. Step 6: Final answer
    x = 54,633.92

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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.