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Finding the Fourth Proportional to 66,538.16, 91,834.56 and 39,682.40

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Solution

The fourth proportional to 66,538.16, 91,834.56 and 39,682.40 is: 54,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538.16 : 91,834.56 = 39,682.40 : x
  2. Step 2: Convert to fraction form
    66,538.16/91,834.56 = 39,682.40/x
  3. Step 3: Cross multiply
    66,538.16x = 91,834.56 × 39,682.40
  4. Step 4: Simplify right side
    66,538.16x = 3,644,215,743.74
  5. Step 5: Solve for x
    x = 3,644,215,743.74/66,538.16
  6. Step 6: Final answer
    x = 54,768.81

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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.