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Finding the Fourth Proportional to 50,645.78, 75,981.87 and 28,475.54

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Solution

The fourth proportional to 50,645.78, 75,981.87 and 28,475.54 is: 42,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645.78 : 75,981.87 = 28,475.54 : x
  2. Step 2: Convert to fraction form
    50,645.78/75,981.87 = 28,475.54/x
  3. Step 3: Cross multiply
    50,645.78x = 75,981.87 × 28,475.54
  4. Step 4: Simplify right side
    50,645.78x = 2,163,624,778.46
  5. Step 5: Solve for x
    x = 2,163,624,778.46/50,645.78
  6. Step 6: Final answer
    x = 42,720.73

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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.