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Finding the Fourth Proportional to 100,409.87, 150,615.89 and 30,289.79

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Solution

The fourth proportional to 100,409.87, 150,615.89 and 30,289.79 is: 45,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409.87 : 150,615.89 = 30,289.79 : x
  2. Step 2: Convert to fraction form
    100,409.87/150,615.89 = 30,289.79/x
  3. Step 3: Cross multiply
    100,409.87x = 150,615.89 × 30,289.79
  4. Step 4: Simplify right side
    100,409.87x = 4,562,123,678.76
  5. Step 5: Solve for x
    x = 4,562,123,678.76/100,409.87
  6. Step 6: Final answer
    x = 45,435.01

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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.