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Finding the Fourth Proportional to 100,647.20, 150,971.16 and 30,527.12

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Solution

The fourth proportional to 100,647.20, 150,971.16 and 30,527.12 is: 45,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,647.20 : 150,971.16 = 30,527.12 : x
  2. Step 2: Convert to fraction form
    100,647.20/150,971.16 = 30,527.12/x
  3. Step 3: Cross multiply
    100,647.20x = 150,971.16 × 30,527.12
  4. Step 4: Simplify right side
    100,647.20x = 4,608,714,717.86
  5. Step 5: Solve for x
    x = 4,608,714,717.86/100,647.20
  6. Step 6: Final answer
    x = 45,790.79

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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.