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Finding the Fourth Proportional to 189,986.80, 284,980.20 and 188,674.60

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Solution

The fourth proportional to 189,986.80, 284,980.20 and 188,674.60 is: 283,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,986.80 : 284,980.20 = 188,674.60 : x
  2. Step 2: Convert to fraction form
    189,986.80/284,980.20 = 188,674.60/x
  3. Step 3: Cross multiply
    189,986.80x = 284,980.20 × 188,674.60
  4. Step 4: Simplify right side
    189,986.80x = 53,768,525,242.92
  5. Step 5: Solve for x
    x = 53,768,525,242.92/189,986.80
  6. Step 6: Final answer
    x = 283,011.90

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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.