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Finding the Fourth Proportional to 218,738.36, 301,600.73 and 149,860.86

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Solution

The fourth proportional to 218,738.36, 301,600.73 and 149,860.86 is: 206,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,738.36 : 301,600.73 = 149,860.86 : x
  2. Step 2: Convert to fraction form
    218,738.36/301,600.73 = 149,860.86/x
  3. Step 3: Cross multiply
    218,738.36x = 301,600.73 × 149,860.86
  4. Step 4: Simplify right side
    218,738.36x = 45,198,142,894.12
  5. Step 5: Solve for x
    x = 45,198,142,894.12/218,738.36
  6. Step 6: Final answer
    x = 206,631.07

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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.