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Finding the Fourth Proportional to 50,119, 75,183.54 and 18,537.40

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Solution

The fourth proportional to 50,119, 75,183.54 and 18,537.40 is: 27,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,119 : 75,183.54 = 18,537.40 : x
  2. Step 2: Convert to fraction form
    50,119/75,183.54 = 18,537.40/x
  3. Step 3: Cross multiply
    50,119x = 75,183.54 × 18,537.40
  4. Step 4: Simplify right side
    50,119x = 1,393,707,354.40
  5. Step 5: Solve for x
    x = 1,393,707,354.40/50,119
  6. Step 6: Final answer
    x = 27,807.96

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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.