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Finding the Fourth Proportional to 221,353.72, 305,467.50 and 120,751

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Solution

The fourth proportional to 221,353.72, 305,467.50 and 120,751 is: 166,636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,353.72 : 305,467.50 = 120,751 : x
  2. Step 2: Convert to fraction form
    221,353.72/305,467.50 = 120,751/x
  3. Step 3: Cross multiply
    221,353.72x = 305,467.50 × 120,751
  4. Step 4: Simplify right side
    221,353.72x = 36,885,506,092.50
  5. Step 5: Solve for x
    x = 36,885,506,092.50/221,353.72
  6. Step 6: Final answer
    x = 166,636.03

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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.