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Finding the Fourth Proportional to 109,298.40, 163,640.40 and 106,226.40

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Solution

The fourth proportional to 109,298.40, 163,640.40 and 106,226.40 is: 159,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,298.40 : 163,640.40 = 106,226.40 : x
  2. Step 2: Convert to fraction form
    109,298.40/163,640.40 = 106,226.40/x
  3. Step 3: Cross multiply
    109,298.40x = 163,640.40 × 106,226.40
  4. Step 4: Simplify right side
    109,298.40x = 17,382,930,586.56
  5. Step 5: Solve for x
    x = 17,382,930,586.56/109,298.40
  6. Step 6: Final answer
    x = 159,041.03

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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.