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Finding the Fourth Proportional to 133,648.79, 200,491.61 and 102,119.09

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Solution

The fourth proportional to 133,648.79, 200,491.61 and 102,119.09 is: 153,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,648.79 : 200,491.61 = 102,119.09 : x
  2. Step 2: Convert to fraction form
    133,648.79/200,491.61 = 102,119.09/x
  3. Step 3: Cross multiply
    133,648.79x = 200,491.61 × 102,119.09
  4. Step 4: Simplify right side
    133,648.79x = 20,474,019,252.78
  5. Step 5: Solve for x
    x = 20,474,019,252.78/133,648.79
  6. Step 6: Final answer
    x = 153,192.71

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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.