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Finding the Fourth Proportional to 133,614.72, 200,421.72 and 54,729

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Solution

The fourth proportional to 133,614.72, 200,421.72 and 54,729 is: 82,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,614.72 : 200,421.72 = 54,729 : x
  2. Step 2: Convert to fraction form
    133,614.72/200,421.72 = 54,729/x
  3. Step 3: Cross multiply
    133,614.72x = 200,421.72 × 54,729
  4. Step 4: Simplify right side
    133,614.72x = 10,968,880,313.88
  5. Step 5: Solve for x
    x = 10,968,880,313.88/133,614.72
  6. Step 6: Final answer
    x = 82,093.35

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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.