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Finding the Fourth Proportional to 137,422.64, 206,146.96 and 43,906.16

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Solution

The fourth proportional to 137,422.64, 206,146.96 and 43,906.16 is: 65,863.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,422.64 : 206,146.96 = 43,906.16 : x
  2. Step 2: Convert to fraction form
    137,422.64/206,146.96 = 43,906.16/x
  3. Step 3: Cross multiply
    137,422.64x = 206,146.96 × 43,906.16
  4. Step 4: Simplify right side
    137,422.64x = 9,051,121,409.27
  5. Step 5: Solve for x
    x = 9,051,121,409.27/137,422.64
  6. Step 6: Final answer
    x = 65,863.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.