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Finding the Fourth Proportional to 221,460.92, 305,615.97 and 120,858.92

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Solution

The fourth proportional to 221,460.92, 305,615.97 and 120,858.92 is: 166,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,460.92 : 305,615.97 = 120,858.92 : x
  2. Step 2: Convert to fraction form
    221,460.92/305,615.97 = 120,858.92/x
  3. Step 3: Cross multiply
    221,460.92x = 305,615.97 × 120,858.92
  4. Step 4: Simplify right side
    221,460.92x = 36,936,415,686.93
  5. Step 5: Solve for x
    x = 36,936,415,686.93/221,460.92
  6. Step 6: Final answer
    x = 166,785.25

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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.