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Finding the Fourth Proportional to 242,172.92, 363,288.54 and 80,072.48

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Solution

The fourth proportional to 242,172.92, 363,288.54 and 80,072.48 is: 120,118.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,172.92 : 363,288.54 = 80,072.48 : x
  2. Step 2: Convert to fraction form
    242,172.92/363,288.54 = 80,072.48/x
  3. Step 3: Cross multiply
    242,172.92x = 363,288.54 × 80,072.48
  4. Step 4: Simplify right side
    242,172.92x = 29,089,415,561.87
  5. Step 5: Solve for x
    x = 29,089,415,561.87/242,172.92
  6. Step 6: Final answer
    x = 120,118.37

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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.