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Finding the Fourth Proportional to 100,421.66, 150,636.41 and 30,300.98

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Solution

The fourth proportional to 100,421.66, 150,636.41 and 30,300.98 is: 45,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,421.66 : 150,636.41 = 30,300.98 : x
  2. Step 2: Convert to fraction form
    100,421.66/150,636.41 = 30,300.98/x
  3. Step 3: Cross multiply
    100,421.66x = 150,636.41 × 30,300.98
  4. Step 4: Simplify right side
    100,421.66x = 4,564,430,846.68
  5. Step 5: Solve for x
    x = 4,564,430,846.68/100,421.66
  6. Step 6: Final answer
    x = 45,452.65

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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.