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Finding the Fourth Proportional to 144,774.94, 199,794.91 and 81,110.56

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Solution

The fourth proportional to 144,774.94, 199,794.91 and 81,110.56 is: 111,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,774.94 : 199,794.91 = 81,110.56 : x
  2. Step 2: Convert to fraction form
    144,774.94/199,794.91 = 81,110.56/x
  3. Step 3: Cross multiply
    144,774.94x = 199,794.91 × 81,110.56
  4. Step 4: Simplify right side
    144,774.94x = 16,205,477,035.25
  5. Step 5: Solve for x
    x = 16,205,477,035.25/144,774.94
  6. Step 6: Final answer
    x = 111,935.65

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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.