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Finding the Fourth Proportional to 201,825, 278,518.50 and 112,401

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Solution

The fourth proportional to 201,825, 278,518.50 and 112,401 is: 155,113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,825 : 278,518.50 = 112,401 : x
  2. Step 2: Convert to fraction form
    201,825/278,518.50 = 112,401/x
  3. Step 3: Cross multiply
    201,825x = 278,518.50 × 112,401
  4. Step 4: Simplify right side
    201,825x = 31,305,757,918.50
  5. Step 5: Solve for x
    x = 31,305,757,918.50/201,825
  6. Step 6: Final answer
    x = 155,113.38

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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.