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Finding the Fourth Proportional to 66,838.72, 92,231.31 and 38,538.94

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Solution

The fourth proportional to 66,838.72, 92,231.31 and 38,538.94 is: 53,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,838.72 : 92,231.31 = 38,538.94 : x
  2. Step 2: Convert to fraction form
    66,838.72/92,231.31 = 38,538.94/x
  3. Step 3: Cross multiply
    66,838.72x = 92,231.31 × 38,538.94
  4. Step 4: Simplify right side
    66,838.72x = 3,554,496,922.21
  5. Step 5: Solve for x
    x = 3,554,496,922.21/66,838.72
  6. Step 6: Final answer
    x = 53,180.21

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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.