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Finding the Fourth Proportional to 69,322.37, 103,983.58 and 19,409.83

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Solution

The fourth proportional to 69,322.37, 103,983.58 and 19,409.83 is: 29,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322.37 : 103,983.58 = 19,409.83 : x
  2. Step 2: Convert to fraction form
    69,322.37/103,983.58 = 19,409.83/x
  3. Step 3: Cross multiply
    69,322.37x = 103,983.58 × 19,409.83
  4. Step 4: Simplify right side
    69,322.37x = 2,018,303,610.59
  5. Step 5: Solve for x
    x = 2,018,303,610.59/69,322.37
  6. Step 6: Final answer
    x = 29,114.75

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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.