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Finding the Fourth Proportional to 144,003.45, 198,724.44 and 83,609.45

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Solution

The fourth proportional to 144,003.45, 198,724.44 and 83,609.45 is: 115,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,003.45 : 198,724.44 = 83,609.45 : x
  2. Step 2: Convert to fraction form
    144,003.45/198,724.44 = 83,609.45/x
  3. Step 3: Cross multiply
    144,003.45x = 198,724.44 × 83,609.45
  4. Step 4: Simplify right side
    144,003.45x = 16,615,240,724.78
  5. Step 5: Solve for x
    x = 16,615,240,724.78/144,003.45
  6. Step 6: Final answer
    x = 115,380.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.