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Finding the Fourth Proportional to 109,509.10, 164,540.44 and 105,080.44

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Solution

The fourth proportional to 109,509.10, 164,540.44 and 105,080.44 is: 157,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,509.10 : 164,540.44 = 105,080.44 : x
  2. Step 2: Convert to fraction form
    109,509.10/164,540.44 = 105,080.44/x
  3. Step 3: Cross multiply
    109,509.10x = 164,540.44 × 105,080.44
  4. Step 4: Simplify right side
    109,509.10x = 17,289,981,832.99
  5. Step 5: Solve for x
    x = 17,289,981,832.99/109,509.10
  6. Step 6: Final answer
    x = 157,886.26

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1.5x scale

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.