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Finding the Fourth Proportional to 103,152.78, 154,704.20 and 75,399.75

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Solution

The fourth proportional to 103,152.78, 154,704.20 and 75,399.75 is: 113,081.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,152.78 : 154,704.20 = 75,399.75 : x
  2. Step 2: Convert to fraction form
    103,152.78/154,704.20 = 75,399.75/x
  3. Step 3: Cross multiply
    103,152.78x = 154,704.20 × 75,399.75
  4. Step 4: Simplify right side
    103,152.78x = 11,664,657,626.95
  5. Step 5: Solve for x
    x = 11,664,657,626.95/103,152.78
  6. Step 6: Final answer
    x = 113,081.37

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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.