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Finding the Fourth Proportional to 149,218.30, 205,914.53 and 81,233.53

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Solution

The fourth proportional to 149,218.30, 205,914.53 and 81,233.53 is: 112,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,218.30 : 205,914.53 = 81,233.53 : x
  2. Step 2: Convert to fraction form
    149,218.30/205,914.53 = 81,233.53/x
  3. Step 3: Cross multiply
    149,218.30x = 205,914.53 × 81,233.53
  4. Step 4: Simplify right side
    149,218.30x = 16,727,164,150.19
  5. Step 5: Solve for x
    x = 16,727,164,150.19/149,218.30
  6. Step 6: Final answer
    x = 112,098.61

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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.