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Finding the Fourth Proportional to 145,859.50, 201,286.08 and 82,199.57

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Solution

The fourth proportional to 145,859.50, 201,286.08 and 82,199.57 is: 113,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,859.50 : 201,286.08 = 82,199.57 : x
  2. Step 2: Convert to fraction form
    145,859.50/201,286.08 = 82,199.57/x
  3. Step 3: Cross multiply
    145,859.50x = 201,286.08 × 82,199.57
  4. Step 4: Simplify right side
    145,859.50x = 16,545,629,222.99
  5. Step 5: Solve for x
    x = 16,545,629,222.99/145,859.50
  6. Step 6: Final answer
    x = 113,435.39

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1.5x scale

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.