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Finding the Fourth Proportional to 221,242.53, 305,314.59 and 120,640.53

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Solution

The fourth proportional to 221,242.53, 305,314.59 and 120,640.53 is: 166,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,242.53 : 305,314.59 = 120,640.53 : x
  2. Step 2: Convert to fraction form
    221,242.53/305,314.59 = 120,640.53/x
  3. Step 3: Cross multiply
    221,242.53x = 305,314.59 × 120,640.53
  4. Step 4: Simplify right side
    221,242.53x = 36,833,313,954.33
  5. Step 5: Solve for x
    x = 36,833,313,954.33/221,242.53
  6. Step 6: Final answer
    x = 166,483.88

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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.