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Finding the Fourth Proportional to 221,354.72, 305,468.88 and 120,752

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Solution

The fourth proportional to 221,354.72, 305,468.88 and 120,752 is: 166,637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,354.72 : 305,468.88 = 120,752 : x
  2. Step 2: Convert to fraction form
    221,354.72/305,468.88 = 120,752/x
  3. Step 3: Cross multiply
    221,354.72x = 305,468.88 × 120,752
  4. Step 4: Simplify right side
    221,354.72x = 36,885,978,197.76
  5. Step 5: Solve for x
    x = 36,885,978,197.76/221,354.72
  6. Step 6: Final answer
    x = 166,637.41

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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.