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Finding the Fourth Proportional to 100,128.99, 150,208.07 and 30,013.77

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Solution

The fourth proportional to 100,128.99, 150,208.07 and 30,013.77 is: 45,025.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,128.99 : 150,208.07 = 30,013.77 : x
  2. Step 2: Convert to fraction form
    100,128.99/150,208.07 = 30,013.77/x
  3. Step 3: Cross multiply
    100,128.99x = 150,208.07 × 30,013.77
  4. Step 4: Simplify right side
    100,128.99x = 4,508,310,465.12
  5. Step 5: Solve for x
    x = 4,508,310,465.12/100,128.99
  6. Step 6: Final answer
    x = 45,025.03

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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.