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Finding the Fourth Proportional to 199,722.40, 299,194.80 and 110,816.80

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Solution

The fourth proportional to 199,722.40, 299,194.80 and 110,816.80 is: 166,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,722.40 : 299,194.80 = 110,816.80 : x
  2. Step 2: Convert to fraction form
    199,722.40/299,194.80 = 110,816.80/x
  3. Step 3: Cross multiply
    199,722.40x = 299,194.80 × 110,816.80
  4. Step 4: Simplify right side
    199,722.40x = 33,155,810,312.64
  5. Step 5: Solve for x
    x = 33,155,810,312.64/199,722.40
  6. Step 6: Final answer
    x = 166,009.47

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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.