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Finding the Fourth Proportional to 144,940.50, 200,019.96 and 87,571.86

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Solution

The fourth proportional to 144,940.50, 200,019.96 and 87,571.86 is: 120,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,940.50 : 200,019.96 = 87,571.86 : x
  2. Step 2: Convert to fraction form
    144,940.50/200,019.96 = 87,571.86/x
  3. Step 3: Cross multiply
    144,940.50x = 200,019.96 × 87,571.86
  4. Step 4: Simplify right side
    144,940.50x = 17,516,119,934.33
  5. Step 5: Solve for x
    x = 17,516,119,934.33/144,940.50
  6. Step 6: Final answer
    x = 120,850.42

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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.