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Finding the Fourth Proportional to 229,016.45, 315,910.49 and 142,825.84

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Solution

The fourth proportional to 229,016.45, 315,910.49 and 142,825.84 is: 197,017.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,016.45 : 315,910.49 = 142,825.84 : x
  2. Step 2: Convert to fraction form
    229,016.45/315,910.49 = 142,825.84/x
  3. Step 3: Cross multiply
    229,016.45x = 315,910.49 × 142,825.84
  4. Step 4: Simplify right side
    229,016.45x = 45,120,181,099.06
  5. Step 5: Solve for x
    x = 45,120,181,099.06/229,016.45
  6. Step 6: Final answer
    x = 197,017.21

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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.