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Finding the Fourth Proportional to 342,589.56, 513,858.42 and 105,933.72

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Solution

The fourth proportional to 342,589.56, 513,858.42 and 105,933.72 is: 158,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,589.56 : 513,858.42 = 105,933.72 : x
  2. Step 2: Convert to fraction form
    342,589.56/513,858.42 = 105,933.72/x
  3. Step 3: Cross multiply
    342,589.56x = 513,858.42 × 105,933.72
  4. Step 4: Simplify right side
    342,589.56x = 54,434,933,983.92
  5. Step 5: Solve for x
    x = 54,434,933,983.92/342,589.56
  6. Step 6: Final answer
    x = 158,892.57

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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.