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Finding the Fourth Proportional to 100,203.94, 150,289.71 and 30,070.90

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Solution

The fourth proportional to 100,203.94, 150,289.71 and 30,070.90 is: 45,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203.94 : 150,289.71 = 30,070.90 : x
  2. Step 2: Convert to fraction form
    100,203.94/150,289.71 = 30,070.90/x
  3. Step 3: Cross multiply
    100,203.94x = 150,289.71 × 30,070.90
  4. Step 4: Simplify right side
    100,203.94x = 4,519,346,840.44
  5. Step 5: Solve for x
    x = 4,519,346,840.44/100,203.94
  6. Step 6: Final answer
    x = 45,101.49

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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.