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Finding the Fourth Proportional to 275,018.68, 412,528.38 and 75,340.81

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Solution

The fourth proportional to 275,018.68, 412,528.38 and 75,340.81 is: 113,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,018.68 : 412,528.38 = 75,340.81 : x
  2. Step 2: Convert to fraction form
    275,018.68/412,528.38 = 75,340.81/x
  3. Step 3: Cross multiply
    275,018.68x = 412,528.38 × 75,340.81
  4. Step 4: Simplify right side
    275,018.68x = 31,080,222,297.19
  5. Step 5: Solve for x
    x = 31,080,222,297.19/275,018.68
  6. Step 6: Final answer
    x = 113,011.31

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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.