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Finding the Fourth Proportional to 202,178.56, 302,968.32 and 82,089.48

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Solution

The fourth proportional to 202,178.56, 302,968.32 and 82,089.48 is: 123,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,178.56 : 302,968.32 = 82,089.48 : x
  2. Step 2: Convert to fraction form
    202,178.56/302,968.32 = 82,089.48/x
  3. Step 3: Cross multiply
    202,178.56x = 302,968.32 × 82,089.48
  4. Step 4: Simplify right side
    202,178.56x = 24,870,510,330.43
  5. Step 5: Solve for x
    x = 24,870,510,330.43/202,178.56
  6. Step 6: Final answer
    x = 123,012.60

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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.