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Finding the Fourth Proportional to 201,976.60, 302,964.90 and 83,878.60

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Solution

The fourth proportional to 201,976.60, 302,964.90 and 83,878.60 is: 125,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976.60 : 302,964.90 = 83,878.60 : x
  2. Step 2: Convert to fraction form
    201,976.60/302,964.90 = 83,878.60/x
  3. Step 3: Cross multiply
    201,976.60x = 302,964.90 × 83,878.60
  4. Step 4: Simplify right side
    201,976.60x = 25,412,271,661.14
  5. Step 5: Solve for x
    x = 25,412,271,661.14/201,976.60
  6. Step 6: Final answer
    x = 125,817.90

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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.