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Finding the Fourth Proportional to 133,615.72, 200,423.22 and 54,730

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Solution

The fourth proportional to 133,615.72, 200,423.22 and 54,730 is: 82,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,615.72 : 200,423.22 = 54,730 : x
  2. Step 2: Convert to fraction form
    133,615.72/200,423.22 = 54,730/x
  3. Step 3: Cross multiply
    133,615.72x = 200,423.22 × 54,730
  4. Step 4: Simplify right side
    133,615.72x = 10,969,162,830.60
  5. Step 5: Solve for x
    x = 10,969,162,830.60/133,615.72
  6. Step 6: Final answer
    x = 82,094.85

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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.