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Finding the Fourth Proportional to 109,893.64, 151,645.10 and 61,489.14

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Solution

The fourth proportional to 109,893.64, 151,645.10 and 61,489.14 is: 84,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,893.64 : 151,645.10 = 61,489.14 : x
  2. Step 2: Convert to fraction form
    109,893.64/151,645.10 = 61,489.14/x
  3. Step 3: Cross multiply
    109,893.64x = 151,645.10 × 61,489.14
  4. Step 4: Simplify right side
    109,893.64x = 9,324,526,784.21
  5. Step 5: Solve for x
    x = 9,324,526,784.21/109,893.64
  6. Step 6: Final answer
    x = 84,850.47

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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.