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Finding the Fourth Proportional to 221,045.02, 305,042.11 and 120,443.02

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Solution

The fourth proportional to 221,045.02, 305,042.11 and 120,443.02 is: 166,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,045.02 : 305,042.11 = 120,443.02 : x
  2. Step 2: Convert to fraction form
    221,045.02/305,042.11 = 120,443.02/x
  3. Step 3: Cross multiply
    221,045.02x = 305,042.11 × 120,443.02
  4. Step 4: Simplify right side
    221,045.02x = 36,740,191,891.86
  5. Step 5: Solve for x
    x = 36,740,191,891.86/221,045.02
  6. Step 6: Final answer
    x = 166,211.36

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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.