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Finding the Fourth Proportional to 76,410.87, 114,603.73 and 20,254.47

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Solution

The fourth proportional to 76,410.87, 114,603.73 and 20,254.47 is: 30,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,410.87 : 114,603.73 = 20,254.47 : x
  2. Step 2: Convert to fraction form
    76,410.87/114,603.73 = 20,254.47/x
  3. Step 3: Cross multiply
    76,410.87x = 114,603.73 × 20,254.47
  4. Step 4: Simplify right side
    76,410.87x = 2,321,237,760.54
  5. Step 5: Solve for x
    x = 2,321,237,760.54/76,410.87
  6. Step 6: Final answer
    x = 30,378.37

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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.