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Finding the Fourth Proportional to 30,867.21, 46,269.03 and 12,139.65

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Solution

The fourth proportional to 30,867.21, 46,269.03 and 12,139.65 is: 18,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.21 : 46,269.03 = 12,139.65 : x
  2. Step 2: Convert to fraction form
    30,867.21/46,269.03 = 12,139.65/x
  3. Step 3: Cross multiply
    30,867.21x = 46,269.03 × 12,139.65
  4. Step 4: Simplify right side
    30,867.21x = 561,690,049.07
  5. Step 5: Solve for x
    x = 561,690,049.07/30,867.21
  6. Step 6: Final answer
    x = 18,196.98

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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.