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Finding the Fourth Proportional to 201,414.80, 302,130.40 and 83,074.86

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Solution

The fourth proportional to 201,414.80, 302,130.40 and 83,074.86 is: 124,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.80 : 302,130.40 = 83,074.86 : x
  2. Step 2: Convert to fraction form
    201,414.80/302,130.40 = 83,074.86/x
  3. Step 3: Cross multiply
    201,414.80x = 302,130.40 × 83,074.86
  4. Step 4: Simplify right side
    201,414.80x = 25,099,440,266.37
  5. Step 5: Solve for x
    x = 25,099,440,266.37/201,414.80
  6. Step 6: Final answer
    x = 124,615.67

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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.