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Finding the Fourth Proportional to 201,786.80, 302,464.20 and 68,543.60

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Solution

The fourth proportional to 201,786.80, 302,464.20 and 68,543.60 is: 102,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786.80 : 302,464.20 = 68,543.60 : x
  2. Step 2: Convert to fraction form
    201,786.80/302,464.20 = 68,543.60/x
  3. Step 3: Cross multiply
    201,786.80x = 302,464.20 × 68,543.60
  4. Step 4: Simplify right side
    201,786.80x = 20,731,985,139.12
  5. Step 5: Solve for x
    x = 20,731,985,139.12/201,786.80
  6. Step 6: Final answer
    x = 102,742.03

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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.