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Finding the Fourth Proportional to 203,744.61, 305,541.32 and 70,589.25

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Solution

The fourth proportional to 203,744.61, 305,541.32 and 70,589.25 is: 105,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,744.61 : 305,541.32 = 70,589.25 : x
  2. Step 2: Convert to fraction form
    203,744.61/305,541.32 = 70,589.25/x
  3. Step 3: Cross multiply
    203,744.61x = 305,541.32 × 70,589.25
  4. Step 4: Simplify right side
    203,744.61x = 21,567,932,269.86
  5. Step 5: Solve for x
    x = 21,567,932,269.86/203,744.61
  6. Step 6: Final answer
    x = 105,857.68

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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.