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Finding the Fourth Proportional to 203,395.68, 280,688.57 and 117,372.51

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Solution

The fourth proportional to 203,395.68, 280,688.57 and 117,372.51 is: 161,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,395.68 : 280,688.57 = 117,372.51 : x
  2. Step 2: Convert to fraction form
    203,395.68/280,688.57 = 117,372.51/x
  3. Step 3: Cross multiply
    203,395.68x = 280,688.57 × 117,372.51
  4. Step 4: Simplify right side
    203,395.68x = 32,945,122,847.21
  5. Step 5: Solve for x
    x = 32,945,122,847.21/203,395.68
  6. Step 6: Final answer
    x = 161,975.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.