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Finding the Fourth Proportional to 221,243.78, 305,316.32 and 120,641.78

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Solution

The fourth proportional to 221,243.78, 305,316.32 and 120,641.78 is: 166,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,243.78 : 305,316.32 = 120,641.78 : x
  2. Step 2: Convert to fraction form
    221,243.78/305,316.32 = 120,641.78/x
  3. Step 3: Cross multiply
    221,243.78x = 305,316.32 × 120,641.78
  4. Step 4: Simplify right side
    221,243.78x = 36,833,902,178.06
  5. Step 5: Solve for x
    x = 36,833,902,178.06/221,243.78
  6. Step 6: Final answer
    x = 166,485.60

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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.