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Finding the Fourth Proportional to 221,503.22, 305,674.45 and 120,901.22

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Solution

The fourth proportional to 221,503.22, 305,674.45 and 120,901.22 is: 166,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,503.22 : 305,674.45 = 120,901.22 : x
  2. Step 2: Convert to fraction form
    221,503.22/305,674.45 = 120,901.22/x
  3. Step 3: Cross multiply
    221,503.22x = 305,674.45 × 120,901.22
  4. Step 4: Simplify right side
    221,503.22x = 36,956,413,323.32
  5. Step 5: Solve for x
    x = 36,956,413,323.32/221,503.22
  6. Step 6: Final answer
    x = 166,843.68

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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.