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Finding the Fourth Proportional to 149,003.64, 205,625.01 and 81,935.64

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Solution

The fourth proportional to 149,003.64, 205,625.01 and 81,935.64 is: 113,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,003.64 : 205,625.01 = 81,935.64 : x
  2. Step 2: Convert to fraction form
    149,003.64/205,625.01 = 81,935.64/x
  3. Step 3: Cross multiply
    149,003.64x = 205,625.01 × 81,935.64
  4. Step 4: Simplify right side
    149,003.64x = 16,848,016,794.36
  5. Step 5: Solve for x
    x = 16,848,016,794.36/149,003.64
  6. Step 6: Final answer
    x = 113,071.18

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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.