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Finding the Fourth Proportional to 159,435.30, 238,710.08 and 80,309.64

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Solution

The fourth proportional to 159,435.30, 238,710.08 and 80,309.64 is: 120,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,435.30 : 238,710.08 = 80,309.64 : x
  2. Step 2: Convert to fraction form
    159,435.30/238,710.08 = 80,309.64/x
  3. Step 3: Cross multiply
    159,435.30x = 238,710.08 × 80,309.64
  4. Step 4: Simplify right side
    159,435.30x = 19,170,720,589.17
  5. Step 5: Solve for x
    x = 19,170,720,589.17/159,435.30
  6. Step 6: Final answer
    x = 120,241.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.