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Finding the Fourth Proportional to 202,139.20, 302,771.40 and 179,977.60

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Solution

The fourth proportional to 202,139.20, 302,771.40 and 179,977.60 is: 269,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,139.20 : 302,771.40 = 179,977.60 : x
  2. Step 2: Convert to fraction form
    202,139.20/302,771.40 = 179,977.60/x
  3. Step 3: Cross multiply
    202,139.20x = 302,771.40 × 179,977.60
  4. Step 4: Simplify right side
    202,139.20x = 54,492,069,920.64
  5. Step 5: Solve for x
    x = 54,492,069,920.64/202,139.20
  6. Step 6: Final answer
    x = 269,576.95

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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.