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Finding the Fourth Proportional to 197,471.72, 272,512.26 and 120,990.98

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Solution

The fourth proportional to 197,471.72, 272,512.26 and 120,990.98 is: 166,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,471.72 : 272,512.26 = 120,990.98 : x
  2. Step 2: Convert to fraction form
    197,471.72/272,512.26 = 120,990.98/x
  3. Step 3: Cross multiply
    197,471.72x = 272,512.26 × 120,990.98
  4. Step 4: Simplify right side
    197,471.72x = 32,971,525,399.41
  5. Step 5: Solve for x
    x = 32,971,525,399.41/197,471.72
  6. Step 6: Final answer
    x = 166,968.34

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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.