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Finding the Fourth Proportional to 66,472.68, 91,640.42 and 53,089

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Solution

The fourth proportional to 66,472.68, 91,640.42 and 53,089 is: 73,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,472.68 : 91,640.42 = 53,089 : x
  2. Step 2: Convert to fraction form
    66,472.68/91,640.42 = 53,089/x
  3. Step 3: Cross multiply
    66,472.68x = 91,640.42 × 53,089
  4. Step 4: Simplify right side
    66,472.68x = 4,865,098,257.38
  5. Step 5: Solve for x
    x = 4,865,098,257.38/66,472.68
  6. Step 6: Final answer
    x = 73,189.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.