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Finding the Fourth Proportional to 221,045.60, 305,042.94 and 120,443.60

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Solution

The fourth proportional to 221,045.60, 305,042.94 and 120,443.60 is: 166,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,045.60 : 305,042.94 = 120,443.60 : x
  2. Step 2: Convert to fraction form
    221,045.60/305,042.94 = 120,443.60/x
  3. Step 3: Cross multiply
    221,045.60x = 305,042.94 × 120,443.60
  4. Step 4: Simplify right side
    221,045.60x = 36,740,469,848.18
  5. Step 5: Solve for x
    x = 36,740,469,848.18/221,045.60
  6. Step 6: Final answer
    x = 166,212.17

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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.