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Finding the Fourth Proportional to 73,612.80, 110,419.20 and 50,284.80

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Solution

The fourth proportional to 73,612.80, 110,419.20 and 50,284.80 is: 75,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,612.80 : 110,419.20 = 50,284.80 : x
  2. Step 2: Convert to fraction form
    73,612.80/110,419.20 = 50,284.80/x
  3. Step 3: Cross multiply
    73,612.80x = 110,419.20 × 50,284.80
  4. Step 4: Simplify right side
    73,612.80x = 5,552,407,388.16
  5. Step 5: Solve for x
    x = 5,552,407,388.16/73,612.80
  6. Step 6: Final answer
    x = 75,427.20

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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.