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Finding the Fourth Proportional to 103,173.68, 154,760.70 and 28,294.50

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Solution

The fourth proportional to 103,173.68, 154,760.70 and 28,294.50 is: 42,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,173.68 : 154,760.70 = 28,294.50 : x
  2. Step 2: Convert to fraction form
    103,173.68/154,760.70 = 28,294.50/x
  3. Step 3: Cross multiply
    103,173.68x = 154,760.70 × 28,294.50
  4. Step 4: Simplify right side
    103,173.68x = 4,378,876,626.15
  5. Step 5: Solve for x
    x = 4,378,876,626.15/103,173.68
  6. Step 6: Final answer
    x = 42,441.80

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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.