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Finding the Fourth Proportional to 217,706.64, 300,445.13 and 120,910.88

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Solution

The fourth proportional to 217,706.64, 300,445.13 and 120,910.88 is: 166,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,706.64 : 300,445.13 = 120,910.88 : x
  2. Step 2: Convert to fraction form
    217,706.64/300,445.13 = 120,910.88/x
  3. Step 3: Cross multiply
    217,706.64x = 300,445.13 × 120,910.88
  4. Step 4: Simplify right side
    217,706.64x = 36,327,082,953.23
  5. Step 5: Solve for x
    x = 36,327,082,953.23/217,706.64
  6. Step 6: Final answer
    x = 166,862.54

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1.5x scale

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.