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Finding the Fourth Proportional to 103,190.58, 154,786.08 and 28,311.76

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Solution

The fourth proportional to 103,190.58, 154,786.08 and 28,311.76 is: 42,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,190.58 : 154,786.08 = 28,311.76 : x
  2. Step 2: Convert to fraction form
    103,190.58/154,786.08 = 28,311.76/x
  3. Step 3: Cross multiply
    103,190.58x = 154,786.08 × 28,311.76
  4. Step 4: Simplify right side
    103,190.58x = 4,382,266,348.30
  5. Step 5: Solve for x
    x = 4,382,266,348.30/103,190.58
  6. Step 6: Final answer
    x = 42,467.70

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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.