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Finding the Fourth Proportional to 100,419.66, 150,633.41 and 30,298.98

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Solution

The fourth proportional to 100,419.66, 150,633.41 and 30,298.98 is: 45,449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.66 : 150,633.41 = 30,298.98 : x
  2. Step 2: Convert to fraction form
    100,419.66/150,633.41 = 30,298.98/x
  3. Step 3: Cross multiply
    100,419.66x = 150,633.41 × 30,298.98
  4. Step 4: Simplify right side
    100,419.66x = 4,564,038,676.92
  5. Step 5: Solve for x
    x = 4,564,038,676.92/100,419.66
  6. Step 6: Final answer
    x = 45,449.65

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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.