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Finding the Fourth Proportional to 86,134.96, 129,202.44 and 50,968

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Solution

The fourth proportional to 86,134.96, 129,202.44 and 50,968 is: 76,452

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,134.96 : 129,202.44 = 50,968 : x
  2. Step 2: Convert to fraction form
    86,134.96/129,202.44 = 50,968/x
  3. Step 3: Cross multiply
    86,134.96x = 129,202.44 × 50,968
  4. Step 4: Simplify right side
    86,134.96x = 6,585,189,961.92
  5. Step 5: Solve for x
    x = 6,585,189,961.92/86,134.96
  6. Step 6: Final answer
    x = 76,452

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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.