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Finding the Fourth Proportional to 216,203.31, 298,348.03 and 120,716.05

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Solution

The fourth proportional to 216,203.31, 298,348.03 and 120,716.05 is: 166,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,203.31 : 298,348.03 = 120,716.05 : x
  2. Step 2: Convert to fraction form
    216,203.31/298,348.03 = 120,716.05/x
  3. Step 3: Cross multiply
    216,203.31x = 298,348.03 × 120,716.05
  4. Step 4: Simplify right side
    216,203.31x = 36,015,395,706.88
  5. Step 5: Solve for x
    x = 36,015,395,706.88/216,203.31
  6. Step 6: Final answer
    x = 166,581.15

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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.