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Finding the Fourth Proportional to 100,185.12, 150,300.72 and 30,065.76

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Solution

The fourth proportional to 100,185.12, 150,300.72 and 30,065.76 is: 45,105.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,185.12 : 150,300.72 = 30,065.76 : x
  2. Step 2: Convert to fraction form
    100,185.12/150,300.72 = 30,065.76/x
  3. Step 3: Cross multiply
    100,185.12x = 150,300.72 × 30,065.76
  4. Step 4: Simplify right side
    100,185.12x = 4,518,905,375.35
  5. Step 5: Solve for x
    x = 4,518,905,375.35/100,185.12
  6. Step 6: Final answer
    x = 45,105.55

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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.