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Finding the Fourth Proportional to 189,990.95, 284,986.19 and 90,096.65

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Solution

The fourth proportional to 189,990.95, 284,986.19 and 90,096.65 is: 135,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,990.95 : 284,986.19 = 90,096.65 : x
  2. Step 2: Convert to fraction form
    189,990.95/284,986.19 = 90,096.65/x
  3. Step 3: Cross multiply
    189,990.95x = 284,986.19 × 90,096.65
  4. Step 4: Simplify right side
    189,990.95x = 25,676,299,139.85
  5. Step 5: Solve for x
    x = 25,676,299,139.85/189,990.95
  6. Step 6: Final answer
    x = 135,144.86

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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.