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Finding the Fourth Proportional to 202,178.90, 302,940.30 and 127,164.80

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Solution

The fourth proportional to 202,178.90, 302,940.30 and 127,164.80 is: 190,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,178.90 : 302,940.30 = 127,164.80 : x
  2. Step 2: Convert to fraction form
    202,178.90/302,940.30 = 127,164.80/x
  3. Step 3: Cross multiply
    202,178.90x = 302,940.30 × 127,164.80
  4. Step 4: Simplify right side
    202,178.90x = 38,523,342,661.44
  5. Step 5: Solve for x
    x = 38,523,342,661.44/202,178.90
  6. Step 6: Final answer
    x = 190,540.87

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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.