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Finding the Fourth Proportional to 159,428.16, 238,986.72 and 76,380.48

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Solution

The fourth proportional to 159,428.16, 238,986.72 and 76,380.48 is: 114,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,428.16 : 238,986.72 = 76,380.48 : x
  2. Step 2: Convert to fraction form
    159,428.16/238,986.72 = 76,380.48/x
  3. Step 3: Cross multiply
    159,428.16x = 238,986.72 × 76,380.48
  4. Step 4: Simplify right side
    159,428.16x = 18,253,920,387.23
  5. Step 5: Solve for x
    x = 18,253,920,387.23/159,428.16
  6. Step 6: Final answer
    x = 114,496.21

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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.