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Finding the Fourth Proportional to 66,846, 92,247.48 and 39,989.64

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Solution

The fourth proportional to 66,846, 92,247.48 and 39,989.64 is: 55,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,846 : 92,247.48 = 39,989.64 : x
  2. Step 2: Convert to fraction form
    66,846/92,247.48 = 39,989.64/x
  3. Step 3: Cross multiply
    66,846x = 92,247.48 × 39,989.64
  4. Step 4: Simplify right side
    66,846x = 3,688,943,516.11
  5. Step 5: Solve for x
    x = 3,688,943,516.11/66,846
  6. Step 6: Final answer
    x = 55,185.70

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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.