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Finding the Fourth Proportional to 221,045.58, 305,045.19 and 120,443.58

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Solution

The fourth proportional to 221,045.58, 305,045.19 and 120,443.58 is: 166,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,045.58 : 305,045.19 = 120,443.58 : x
  2. Step 2: Convert to fraction form
    221,045.58/305,045.19 = 120,443.58/x
  3. Step 3: Cross multiply
    221,045.58x = 305,045.19 × 120,443.58
  4. Step 4: Simplify right side
    221,045.58x = 36,740,734,745.38
  5. Step 5: Solve for x
    x = 36,740,734,745.38/221,045.58
  6. Step 6: Final answer
    x = 166,213.39

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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.