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Finding the Fourth Proportional to 103,913.81, 155,589.17 and 53,889

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Solution

The fourth proportional to 103,913.81, 155,589.17 and 53,889 is: 80,687.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,913.81 : 155,589.17 = 53,889 : x
  2. Step 2: Convert to fraction form
    103,913.81/155,589.17 = 53,889/x
  3. Step 3: Cross multiply
    103,913.81x = 155,589.17 × 53,889
  4. Step 4: Simplify right side
    103,913.81x = 8,384,544,512.69
  5. Step 5: Solve for x
    x = 8,384,544,512.69/103,913.81
  6. Step 6: Final answer
    x = 80,687.49

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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.