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Finding the Fourth Proportional to 221,044.25, 305,041.11 and 120,442.25

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Solution

The fourth proportional to 221,044.25, 305,041.11 and 120,442.25 is: 166,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,044.25 : 305,041.11 = 120,442.25 : x
  2. Step 2: Convert to fraction form
    221,044.25/305,041.11 = 120,442.25/x
  3. Step 3: Cross multiply
    221,044.25x = 305,041.11 × 120,442.25
  4. Step 4: Simplify right side
    221,044.25x = 36,739,837,630.90
  5. Step 5: Solve for x
    x = 36,739,837,630.90/221,044.25
  6. Step 6: Final answer
    x = 166,210.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.