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Finding the Fourth Proportional to 216,201.88, 298,338.96 and 120,691

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Solution

The fourth proportional to 216,201.88, 298,338.96 and 120,691 is: 166,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,201.88 : 298,338.96 = 120,691 : x
  2. Step 2: Convert to fraction form
    216,201.88/298,338.96 = 120,691/x
  3. Step 3: Cross multiply
    216,201.88x = 298,338.96 × 120,691
  4. Step 4: Simplify right side
    216,201.88x = 36,006,827,421.36
  5. Step 5: Solve for x
    x = 36,006,827,421.36/216,201.88
  6. Step 6: Final answer
    x = 166,542.62

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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.