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Finding the Fourth Proportional to 100,474.83, 150,715.89 and 30,354.75

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Solution

The fourth proportional to 100,474.83, 150,715.89 and 30,354.75 is: 45,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,474.83 : 150,715.89 = 30,354.75 : x
  2. Step 2: Convert to fraction form
    100,474.83/150,715.89 = 30,354.75/x
  3. Step 3: Cross multiply
    100,474.83x = 150,715.89 × 30,354.75
  4. Step 4: Simplify right side
    100,474.83x = 4,574,943,161.98
  5. Step 5: Solve for x
    x = 4,574,943,161.98/100,474.83
  6. Step 6: Final answer
    x = 45,533.23

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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.