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Finding the Fourth Proportional to 225,021.86, 310,383.84 and 144,321.56

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Solution

The fourth proportional to 225,021.86, 310,383.84 and 144,321.56 is: 199,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,021.86 : 310,383.84 = 144,321.56 : x
  2. Step 2: Convert to fraction form
    225,021.86/310,383.84 = 144,321.56/x
  3. Step 3: Cross multiply
    225,021.86x = 310,383.84 × 144,321.56
  4. Step 4: Simplify right side
    225,021.86x = 44,795,078,435.67
  5. Step 5: Solve for x
    x = 44,795,078,435.67/225,021.86
  6. Step 6: Final answer
    x = 199,069.90

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1.5x scale

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.