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Finding the Fourth Proportional to 149,202.40, 205,901.94 and 81,221.32

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Solution

The fourth proportional to 149,202.40, 205,901.94 and 81,221.32 is: 112,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,202.40 : 205,901.94 = 81,221.32 : x
  2. Step 2: Convert to fraction form
    149,202.40/205,901.94 = 81,221.32/x
  3. Step 3: Cross multiply
    149,202.40x = 205,901.94 × 81,221.32
  4. Step 4: Simplify right side
    149,202.40x = 16,723,627,357.36
  5. Step 5: Solve for x
    x = 16,723,627,357.36/149,202.40
  6. Step 6: Final answer
    x = 112,086.85

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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.