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Finding the Fourth Proportional to 221,333.67, 305,441.43 and 120,733.83

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Solution

The fourth proportional to 221,333.67, 305,441.43 and 120,733.83 is: 166,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,333.67 : 305,441.43 = 120,733.83 : x
  2. Step 2: Convert to fraction form
    221,333.67/305,441.43 = 120,733.83/x
  3. Step 3: Cross multiply
    221,333.67x = 305,441.43 × 120,733.83
  4. Step 4: Simplify right side
    221,333.67x = 36,877,113,684.58
  5. Step 5: Solve for x
    x = 36,877,113,684.58/221,333.67
  6. Step 6: Final answer
    x = 166,613.21

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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.