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Finding the Fourth Proportional to 193,230.80, 289,967.80 and 82,421.20

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Solution

The fourth proportional to 193,230.80, 289,967.80 and 82,421.20 is: 123,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,230.80 : 289,967.80 = 82,421.20 : x
  2. Step 2: Convert to fraction form
    193,230.80/289,967.80 = 82,421.20/x
  3. Step 3: Cross multiply
    193,230.80x = 289,967.80 × 82,421.20
  4. Step 4: Simplify right side
    193,230.80x = 23,899,494,037.36
  5. Step 5: Solve for x
    x = 23,899,494,037.36/193,230.80
  6. Step 6: Final answer
    x = 123,683.67

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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.