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Finding the Fourth Proportional to 217,642.31, 300,361.26 and 120,851.16

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Solution

The fourth proportional to 217,642.31, 300,361.26 and 120,851.16 is: 166,782.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,642.31 : 300,361.26 = 120,851.16 : x
  2. Step 2: Convert to fraction form
    217,642.31/300,361.26 = 120,851.16/x
  3. Step 3: Cross multiply
    217,642.31x = 300,361.26 × 120,851.16
  4. Step 4: Simplify right side
    217,642.31x = 36,299,006,690.06
  5. Step 5: Solve for x
    x = 36,299,006,690.06/217,642.31
  6. Step 6: Final answer
    x = 166,782.86

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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.