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Finding the Fourth Proportional to 207,356.02, 311,019.42 and 80,972.52

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Solution

The fourth proportional to 207,356.02, 311,019.42 and 80,972.52 is: 121,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,356.02 : 311,019.42 = 80,972.52 : x
  2. Step 2: Convert to fraction form
    207,356.02/311,019.42 = 80,972.52/x
  3. Step 3: Cross multiply
    207,356.02x = 311,019.42 × 80,972.52
  4. Step 4: Simplify right side
    207,356.02x = 25,184,026,206.34
  5. Step 5: Solve for x
    x = 25,184,026,206.34/207,356.02
  6. Step 6: Final answer
    x = 121,453.07

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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.