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Finding the Fourth Proportional to 221,456.70, 305,610.17 and 120,854.70

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Solution

The fourth proportional to 221,456.70, 305,610.17 and 120,854.70 is: 166,779.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,456.70 : 305,610.17 = 120,854.70 : x
  2. Step 2: Convert to fraction form
    221,456.70/305,610.17 = 120,854.70/x
  3. Step 3: Cross multiply
    221,456.70x = 305,610.17 × 120,854.70
  4. Step 4: Simplify right side
    221,456.70x = 36,934,424,808.03
  5. Step 5: Solve for x
    x = 36,934,424,808.03/221,456.70
  6. Step 6: Final answer
    x = 166,779.44

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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.