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Finding the Fourth Proportional to 75,162.76, 103,629.03 and 53,678.21

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Solution

The fourth proportional to 75,162.76, 103,629.03 and 53,678.21 is: 74,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,162.76 : 103,629.03 = 53,678.21 : x
  2. Step 2: Convert to fraction form
    75,162.76/103,629.03 = 53,678.21/x
  3. Step 3: Cross multiply
    75,162.76x = 103,629.03 × 53,678.21
  4. Step 4: Simplify right side
    75,162.76x = 5,562,620,834.44
  5. Step 5: Solve for x
    x = 5,562,620,834.44/75,162.76
  6. Step 6: Final answer
    x = 74,007.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.