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Finding the Fourth Proportional to 189,851, 285,219.44 and 111,020.72

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Solution

The fourth proportional to 189,851, 285,219.44 and 111,020.72 is: 166,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,851 : 285,219.44 = 111,020.72 : x
  2. Step 2: Convert to fraction form
    189,851/285,219.44 = 111,020.72/x
  3. Step 3: Cross multiply
    189,851x = 285,219.44 × 111,020.72
  4. Step 4: Simplify right side
    189,851x = 31,665,267,586.80
  5. Step 5: Solve for x
    x = 31,665,267,586.80/189,851
  6. Step 6: Final answer
    x = 166,790.10

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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.