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Finding the Fourth Proportional to 100,305.92, 150,441.60 and 30,166.40

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Solution

The fourth proportional to 100,305.92, 150,441.60 and 30,166.40 is: 45,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,305.92 : 150,441.60 = 30,166.40 : x
  2. Step 2: Convert to fraction form
    100,305.92/150,441.60 = 30,166.40/x
  3. Step 3: Cross multiply
    100,305.92x = 150,441.60 × 30,166.40
  4. Step 4: Simplify right side
    100,305.92x = 4,538,281,482.24
  5. Step 5: Solve for x
    x = 4,538,281,482.24/100,305.92
  6. Step 6: Final answer
    x = 45,244.40

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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.