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Finding the Fourth Proportional to 201,289.80, 301,934.70 and 82,900.20

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Solution

The fourth proportional to 201,289.80, 301,934.70 and 82,900.20 is: 124,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,289.80 : 301,934.70 = 82,900.20 : x
  2. Step 2: Convert to fraction form
    201,289.80/301,934.70 = 82,900.20/x
  3. Step 3: Cross multiply
    201,289.80x = 301,934.70 × 82,900.20
  4. Step 4: Simplify right side
    201,289.80x = 25,030,447,016.94
  5. Step 5: Solve for x
    x = 25,030,447,016.94/201,289.80
  6. Step 6: Final answer
    x = 124,350.30

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1.5x scale

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.