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Finding the Fourth Proportional to 202,142.20, 302,775.90 and 179,980.60

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Solution

The fourth proportional to 202,142.20, 302,775.90 and 179,980.60 is: 269,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.20 : 302,775.90 = 179,980.60 : x
  2. Step 2: Convert to fraction form
    202,142.20/302,775.90 = 179,980.60/x
  3. Step 3: Cross multiply
    202,142.20x = 302,775.90 × 179,980.60
  4. Step 4: Simplify right side
    202,142.20x = 54,493,788,147.54
  5. Step 5: Solve for x
    x = 54,493,788,147.54/202,142.20
  6. Step 6: Final answer
    x = 269,581.45

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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.