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Finding the Fourth Proportional to 66,491.78, 91,749.56 and 38,197.46

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Solution

The fourth proportional to 66,491.78, 91,749.56 and 38,197.46 is: 52,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,491.78 : 91,749.56 = 38,197.46 : x
  2. Step 2: Convert to fraction form
    66,491.78/91,749.56 = 38,197.46/x
  3. Step 3: Cross multiply
    66,491.78x = 91,749.56 × 38,197.46
  4. Step 4: Simplify right side
    66,491.78x = 3,504,600,148.12
  5. Step 5: Solve for x
    x = 3,504,600,148.12/66,491.78
  6. Step 6: Final answer
    x = 52,707.27

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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.