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Finding the Fourth Proportional to 207,138.64, 310,773.24 and 74,015.92

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Solution

The fourth proportional to 207,138.64, 310,773.24 and 74,015.92 is: 111,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,138.64 : 310,773.24 = 74,015.92 : x
  2. Step 2: Convert to fraction form
    207,138.64/310,773.24 = 74,015.92/x
  3. Step 3: Cross multiply
    207,138.64x = 310,773.24 × 74,015.92
  4. Step 4: Simplify right side
    207,138.64x = 23,002,167,269.98
  5. Step 5: Solve for x
    x = 23,002,167,269.98/207,138.64
  6. Step 6: Final answer
    x = 111,047.21

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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.