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Finding the Fourth Proportional to 102,768.50, 154,152.81 and 28,896.50

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Solution

The fourth proportional to 102,768.50, 154,152.81 and 28,896.50 is: 43,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,768.50 : 154,152.81 = 28,896.50 : x
  2. Step 2: Convert to fraction form
    102,768.50/154,152.81 = 28,896.50/x
  3. Step 3: Cross multiply
    102,768.50x = 154,152.81 × 28,896.50
  4. Step 4: Simplify right side
    102,768.50x = 4,454,476,674.17
  5. Step 5: Solve for x
    x = 4,454,476,674.17/102,768.50
  6. Step 6: Final answer
    x = 43,344.77

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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.