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Finding the Fourth Proportional to 154,354.27, 231,530.11 and 120,648.64

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Solution

The fourth proportional to 154,354.27, 231,530.11 and 120,648.64 is: 180,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,354.27 : 231,530.11 = 120,648.64 : x
  2. Step 2: Convert to fraction form
    154,354.27/231,530.11 = 120,648.64/x
  3. Step 3: Cross multiply
    154,354.27x = 231,530.11 × 120,648.64
  4. Step 4: Simplify right side
    154,354.27x = 27,933,792,890.55
  5. Step 5: Solve for x
    x = 27,933,792,890.55/154,354.27
  6. Step 6: Final answer
    x = 180,971.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.