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Finding the Fourth Proportional to 201,997.94, 278,756.44 and 117,163.40

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Solution

The fourth proportional to 201,997.94, 278,756.44 and 117,163.40 is: 161,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,997.94 : 278,756.44 = 117,163.40 : x
  2. Step 2: Convert to fraction form
    201,997.94/278,756.44 = 117,163.40/x
  3. Step 3: Cross multiply
    201,997.94x = 278,756.44 × 117,163.40
  4. Step 4: Simplify right side
    201,997.94x = 32,660,050,595.61
  5. Step 5: Solve for x
    x = 32,660,050,595.61/201,997.94
  6. Step 6: Final answer
    x = 161,685.07

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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.