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Finding the Fourth Proportional to 221,480.56, 305,643.42 and 120,878.56

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Solution

The fourth proportional to 221,480.56, 305,643.42 and 120,878.56 is: 166,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,480.56 : 305,643.42 = 120,878.56 : x
  2. Step 2: Convert to fraction form
    221,480.56/305,643.42 = 120,878.56/x
  3. Step 3: Cross multiply
    221,480.56x = 305,643.42 × 120,878.56
  4. Step 4: Simplify right side
    221,480.56x = 36,945,736,483.08
  5. Step 5: Solve for x
    x = 36,945,736,483.08/221,480.56
  6. Step 6: Final answer
    x = 166,812.55

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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.