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Finding the Fourth Proportional to 221,161, 305,097.06 and 149,566.12

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Solution

The fourth proportional to 221,161, 305,097.06 and 149,566.12 is: 206,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,161 : 305,097.06 = 149,566.12 : x
  2. Step 2: Convert to fraction form
    221,161/305,097.06 = 149,566.12/x
  3. Step 3: Cross multiply
    221,161x = 305,097.06 × 149,566.12
  4. Step 4: Simplify right side
    221,161x = 45,632,183,487.61
  5. Step 5: Solve for x
    x = 45,632,183,487.61/221,161
  6. Step 6: Final answer
    x = 206,330.16

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1.5x scale

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.