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Finding the Fourth Proportional to 102,766.50, 154,149.81 and 28,894.50

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Solution

The fourth proportional to 102,766.50, 154,149.81 and 28,894.50 is: 43,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,766.50 : 154,149.81 = 28,894.50 : x
  2. Step 2: Convert to fraction form
    102,766.50/154,149.81 = 28,894.50/x
  3. Step 3: Cross multiply
    102,766.50x = 154,149.81 × 28,894.50
  4. Step 4: Simplify right side
    102,766.50x = 4,454,081,685.05
  5. Step 5: Solve for x
    x = 4,454,081,685.05/102,766.50
  6. Step 6: Final answer
    x = 43,341.77

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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.