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Finding the Fourth Proportional to 69,322.45, 103,983.70 and 19,409.91

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Solution

The fourth proportional to 69,322.45, 103,983.70 and 19,409.91 is: 29,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322.45 : 103,983.70 = 19,409.91 : x
  2. Step 2: Convert to fraction form
    69,322.45/103,983.70 = 19,409.91/x
  3. Step 3: Cross multiply
    69,322.45x = 103,983.70 × 19,409.91
  4. Step 4: Simplify right side
    69,322.45x = 2,018,314,258.47
  5. Step 5: Solve for x
    x = 2,018,314,258.47/69,322.45
  6. Step 6: Final answer
    x = 29,114.87

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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.