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Finding the Fourth Proportional to 144,896.50, 199,945.56 and 81,225.64

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Solution

The fourth proportional to 144,896.50, 199,945.56 and 81,225.64 is: 112,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896.50 : 199,945.56 = 81,225.64 : x
  2. Step 2: Convert to fraction form
    144,896.50/199,945.56 = 81,225.64/x
  3. Step 3: Cross multiply
    144,896.50x = 199,945.56 × 81,225.64
  4. Step 4: Simplify right side
    144,896.50x = 16,240,706,076.16
  5. Step 5: Solve for x
    x = 16,240,706,076.16/144,896.50
  6. Step 6: Final answer
    x = 112,084.87

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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.