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Finding the Fourth Proportional to 259,996, 389,944.68 and 126,742.24

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Solution

The fourth proportional to 259,996, 389,944.68 and 126,742.24 is: 190,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,996 : 389,944.68 = 126,742.24 : x
  2. Step 2: Convert to fraction form
    259,996/389,944.68 = 126,742.24/x
  3. Step 3: Cross multiply
    259,996x = 389,944.68 × 126,742.24
  4. Step 4: Simplify right side
    259,996x = 49,422,462,219.28
  5. Step 5: Solve for x
    x = 49,422,462,219.28/259,996
  6. Step 6: Final answer
    x = 190,089.32

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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.