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Finding the Fourth Proportional to 201,367.80, 302,051.70 and 82,978.20

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Solution

The fourth proportional to 201,367.80, 302,051.70 and 82,978.20 is: 124,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,367.80 : 302,051.70 = 82,978.20 : x
  2. Step 2: Convert to fraction form
    201,367.80/302,051.70 = 82,978.20/x
  3. Step 3: Cross multiply
    201,367.80x = 302,051.70 × 82,978.20
  4. Step 4: Simplify right side
    201,367.80x = 25,063,706,372.94
  5. Step 5: Solve for x
    x = 25,063,706,372.94/201,367.80
  6. Step 6: Final answer
    x = 124,467.30

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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.