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Finding the Fourth Proportional to 221,465.73, 305,618.45 and 120,864.45

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Solution

The fourth proportional to 221,465.73, 305,618.45 and 120,864.45 is: 166,790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,465.73 : 305,618.45 = 120,864.45 : x
  2. Step 2: Convert to fraction form
    221,465.73/305,618.45 = 120,864.45/x
  3. Step 3: Cross multiply
    221,465.73x = 305,618.45 × 120,864.45
  4. Step 4: Simplify right side
    221,465.73x = 36,938,405,264.78
  5. Step 5: Solve for x
    x = 36,938,405,264.78/221,465.73
  6. Step 6: Final answer
    x = 166,790.61

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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.