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Finding the Fourth Proportional to 129,900.69, 194,851.94 and 36,406.44

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Solution

The fourth proportional to 129,900.69, 194,851.94 and 36,406.44 is: 54,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,900.69 : 194,851.94 = 36,406.44 : x
  2. Step 2: Convert to fraction form
    129,900.69/194,851.94 = 36,406.44/x
  3. Step 3: Cross multiply
    129,900.69x = 194,851.94 × 36,406.44
  4. Step 4: Simplify right side
    129,900.69x = 7,093,865,462.49
  5. Step 5: Solve for x
    x = 7,093,865,462.49/129,900.69
  6. Step 6: Final answer
    x = 54,609.91

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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.