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Finding the Fourth Proportional to 129,898, 194,284.11 and 76,462.64

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Solution

The fourth proportional to 129,898, 194,284.11 and 76,462.64 is: 114,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,898 : 194,284.11 = 76,462.64 : x
  2. Step 2: Convert to fraction form
    129,898/194,284.11 = 76,462.64/x
  3. Step 3: Cross multiply
    129,898x = 194,284.11 × 76,462.64
  4. Step 4: Simplify right side
    129,898x = 14,855,475,960.65
  5. Step 5: Solve for x
    x = 14,855,475,960.65/129,898
  6. Step 6: Final answer
    x = 114,362.62

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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.