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Finding the Fourth Proportional to 221,198.58, 305,017.65 and 145,615.86

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Solution

The fourth proportional to 221,198.58, 305,017.65 and 145,615.86 is: 200,794.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,198.58 : 305,017.65 = 145,615.86 : x
  2. Step 2: Convert to fraction form
    221,198.58/305,017.65 = 145,615.86/x
  3. Step 3: Cross multiply
    221,198.58x = 305,017.65 × 145,615.86
  4. Step 4: Simplify right side
    221,198.58x = 44,415,407,419.93
  5. Step 5: Solve for x
    x = 44,415,407,419.93/221,198.58
  6. Step 6: Final answer
    x = 200,794.27

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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.