Home / 109,904.30-164,856.45-82,256.30

Finding the Fourth Proportional to 109,904.30, 164,856.45 and 82,256.30

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Solution

The fourth proportional to 109,904.30, 164,856.45 and 82,256.30 is: 123,384.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904.30 : 164,856.45 = 82,256.30 : x
  2. Step 2: Convert to fraction form
    109,904.30/164,856.45 = 82,256.30/x
  3. Step 3: Cross multiply
    109,904.30x = 164,856.45 × 82,256.30
  4. Step 4: Simplify right side
    109,904.30x = 13,560,481,608.14
  5. Step 5: Solve for x
    x = 13,560,481,608.14/109,904.30
  6. Step 6: Final answer
    x = 123,384.45

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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.