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Finding the Fourth Proportional to 144,993.46, 200,077.52 and 81,318.94

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Solution

The fourth proportional to 144,993.46, 200,077.52 and 81,318.94 is: 112,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,993.46 : 200,077.52 = 81,318.94 : x
  2. Step 2: Convert to fraction form
    144,993.46/200,077.52 = 81,318.94/x
  3. Step 3: Cross multiply
    144,993.46x = 200,077.52 × 81,318.94
  4. Step 4: Simplify right side
    144,993.46x = 16,270,091,844.23
  5. Step 5: Solve for x
    x = 16,270,091,844.23/144,993.46
  6. Step 6: Final answer
    x = 112,212.59

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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.