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Finding the Fourth Proportional to 100,429.68, 150,645.48 and 30,309.60

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Solution

The fourth proportional to 100,429.68, 150,645.48 and 30,309.60 is: 45,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,429.68 : 150,645.48 = 30,309.60 : x
  2. Step 2: Convert to fraction form
    100,429.68/150,645.48 = 30,309.60/x
  3. Step 3: Cross multiply
    100,429.68x = 150,645.48 × 30,309.60
  4. Step 4: Simplify right side
    100,429.68x = 4,566,004,240.61
  5. Step 5: Solve for x
    x = 4,566,004,240.61/100,429.68
  6. Step 6: Final answer
    x = 45,464.69

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1.5x scale

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.