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Finding the Fourth Proportional to 207,406.37, 311,174.13 and 74,287.77

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Solution

The fourth proportional to 207,406.37, 311,174.13 and 74,287.77 is: 111,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,406.37 : 311,174.13 = 74,287.77 : x
  2. Step 2: Convert to fraction form
    207,406.37/311,174.13 = 74,287.77/x
  3. Step 3: Cross multiply
    207,406.37x = 311,174.13 × 74,287.77
  4. Step 4: Simplify right side
    207,406.37x = 23,116,432,199.39
  5. Step 5: Solve for x
    x = 23,116,432,199.39/207,406.37
  6. Step 6: Final answer
    x = 111,454.79

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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.