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Finding the Fourth Proportional to 50,978.60, 76,467.90 and 50,103.80

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Solution

The fourth proportional to 50,978.60, 76,467.90 and 50,103.80 is: 75,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.60 : 76,467.90 = 50,103.80 : x
  2. Step 2: Convert to fraction form
    50,978.60/76,467.90 = 50,103.80/x
  3. Step 3: Cross multiply
    50,978.60x = 76,467.90 × 50,103.80
  4. Step 4: Simplify right side
    50,978.60x = 3,831,332,368.02
  5. Step 5: Solve for x
    x = 3,831,332,368.02/50,978.60
  6. Step 6: Final answer
    x = 75,155.70

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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.