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Finding the Fourth Proportional to 201,286.42, 301,869.34 and 66,325.50

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Solution

The fourth proportional to 201,286.42, 301,869.34 and 66,325.50 is: 99,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,286.42 : 301,869.34 = 66,325.50 : x
  2. Step 2: Convert to fraction form
    201,286.42/301,869.34 = 66,325.50/x
  3. Step 3: Cross multiply
    201,286.42x = 301,869.34 × 66,325.50
  4. Step 4: Simplify right side
    201,286.42x = 20,021,634,744.36
  5. Step 5: Solve for x
    x = 20,021,634,744.36/201,286.42
  6. Step 6: Final answer
    x = 99,468.38

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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.