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Finding the Fourth Proportional to 193,228.80, 289,964.80 and 82,419.20

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Solution

The fourth proportional to 193,228.80, 289,964.80 and 82,419.20 is: 123,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,228.80 : 289,964.80 = 82,419.20 : x
  2. Step 2: Convert to fraction form
    193,228.80/289,964.80 = 82,419.20/x
  3. Step 3: Cross multiply
    193,228.80x = 289,964.80 × 82,419.20
  4. Step 4: Simplify right side
    193,228.80x = 23,898,666,844.16
  5. Step 5: Solve for x
    x = 23,898,666,844.16/193,228.80
  6. Step 6: Final answer
    x = 123,680.67

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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.