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Finding the Fourth Proportional to 100,201.72, 137,963.64 and 85,063

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Solution

The fourth proportional to 100,201.72, 137,963.64 and 85,063 is: 117,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201.72 : 137,963.64 = 85,063 : x
  2. Step 2: Convert to fraction form
    100,201.72/137,963.64 = 85,063/x
  3. Step 3: Cross multiply
    100,201.72x = 137,963.64 × 85,063
  4. Step 4: Simplify right side
    100,201.72x = 11,735,601,109.32
  5. Step 5: Solve for x
    x = 11,735,601,109.32/100,201.72
  6. Step 6: Final answer
    x = 117,119.76

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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.