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Finding the Fourth Proportional to 66,834, 92,230.92 and 39,977.64

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Solution

The fourth proportional to 66,834, 92,230.92 and 39,977.64 is: 55,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,834 : 92,230.92 = 39,977.64 : x
  2. Step 2: Convert to fraction form
    66,834/92,230.92 = 39,977.64/x
  3. Step 3: Cross multiply
    66,834x = 92,230.92 × 39,977.64
  4. Step 4: Simplify right side
    66,834x = 3,687,174,516.63
  5. Step 5: Solve for x
    x = 3,687,174,516.63/66,834
  6. Step 6: Final answer
    x = 55,169.14

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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.