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Finding the Fourth Proportional to 207,362.02, 311,028.42 and 80,978.52

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Solution

The fourth proportional to 207,362.02, 311,028.42 and 80,978.52 is: 121,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,362.02 : 311,028.42 = 80,978.52 : x
  2. Step 2: Convert to fraction form
    207,362.02/311,028.42 = 80,978.52/x
  3. Step 3: Cross multiply
    207,362.02x = 311,028.42 × 80,978.52
  4. Step 4: Simplify right side
    207,362.02x = 25,186,621,129.54
  5. Step 5: Solve for x
    x = 25,186,621,129.54/207,362.02
  6. Step 6: Final answer
    x = 121,462.07

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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.