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Finding the Fourth Proportional to 221,044.55, 305,041.47 and 120,442.55

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Solution

The fourth proportional to 221,044.55, 305,041.47 and 120,442.55 is: 166,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,044.55 : 305,041.47 = 120,442.55 : x
  2. Step 2: Convert to fraction form
    221,044.55/305,041.47 = 120,442.55/x
  3. Step 3: Cross multiply
    221,044.55x = 305,041.47 × 120,442.55
  4. Step 4: Simplify right side
    221,044.55x = 36,739,970,977.34
  5. Step 5: Solve for x
    x = 36,739,970,977.34/221,044.55
  6. Step 6: Final answer
    x = 166,210.71

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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.