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Finding the Fourth Proportional to 221,676, 305,912.88 and 121,074.24

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Solution

The fourth proportional to 221,676, 305,912.88 and 121,074.24 is: 167,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,676 : 305,912.88 = 121,074.24 : x
  2. Step 2: Convert to fraction form
    221,676/305,912.88 = 121,074.24/x
  3. Step 3: Cross multiply
    221,676x = 305,912.88 × 121,074.24
  4. Step 4: Simplify right side
    221,676x = 37,038,169,452.21
  5. Step 5: Solve for x
    x = 37,038,169,452.21/221,676
  6. Step 6: Final answer
    x = 167,082.45

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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.