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Finding the Fourth Proportional to 129,697.62, 194,564.62 and 45,438.48

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Solution

The fourth proportional to 129,697.62, 194,564.62 and 45,438.48 is: 68,164.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,697.62 : 194,564.62 = 45,438.48 : x
  2. Step 2: Convert to fraction form
    129,697.62/194,564.62 = 45,438.48/x
  3. Step 3: Cross multiply
    129,697.62x = 194,564.62 × 45,438.48
  4. Step 4: Simplify right side
    129,697.62x = 8,840,720,594.58
  5. Step 5: Solve for x
    x = 8,840,720,594.58/129,697.62
  6. Step 6: Final answer
    x = 68,164.09

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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.