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Finding the Fourth Proportional to 221,460.56, 305,615.46 and 120,858.56

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Solution

The fourth proportional to 221,460.56, 305,615.46 and 120,858.56 is: 166,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,460.56 : 305,615.46 = 120,858.56 : x
  2. Step 2: Convert to fraction form
    221,460.56/305,615.46 = 120,858.56/x
  3. Step 3: Cross multiply
    221,460.56x = 305,615.46 × 120,858.56
  4. Step 4: Simplify right side
    221,460.56x = 36,936,242,881.26
  5. Step 5: Solve for x
    x = 36,936,242,881.26/221,460.56
  6. Step 6: Final answer
    x = 166,784.75

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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.