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Finding the Fourth Proportional to 133,481.72, 200,271.80 and 70,299.28

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Solution

The fourth proportional to 133,481.72, 200,271.80 and 70,299.28 is: 105,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,481.72 : 200,271.80 = 70,299.28 : x
  2. Step 2: Convert to fraction form
    133,481.72/200,271.80 = 70,299.28/x
  3. Step 3: Cross multiply
    133,481.72x = 200,271.80 × 70,299.28
  4. Step 4: Simplify right side
    133,481.72x = 14,078,963,344.30
  5. Step 5: Solve for x
    x = 14,078,963,344.30/133,481.72
  6. Step 6: Final answer
    x = 105,474.84

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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.