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Finding the Fourth Proportional to 259,236, 389,005.20 and 109,467.36

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Solution

The fourth proportional to 259,236, 389,005.20 and 109,467.36 is: 164,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,236 : 389,005.20 = 109,467.36 : x
  2. Step 2: Convert to fraction form
    259,236/389,005.20 = 109,467.36/x
  3. Step 3: Cross multiply
    259,236x = 389,005.20 × 109,467.36
  4. Step 4: Simplify right side
    259,236x = 42,583,372,270.27
  5. Step 5: Solve for x
    x = 42,583,372,270.27/259,236
  6. Step 6: Final answer
    x = 164,264.89

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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.