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Finding the Fourth Proportional to 102,722.58, 154,093.59 and 40,378.50

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Solution

The fourth proportional to 102,722.58, 154,093.59 and 40,378.50 is: 60,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,722.58 : 154,093.59 = 40,378.50 : x
  2. Step 2: Convert to fraction form
    102,722.58/154,093.59 = 40,378.50/x
  3. Step 3: Cross multiply
    102,722.58x = 154,093.59 × 40,378.50
  4. Step 4: Simplify right side
    102,722.58x = 6,222,068,023.82
  5. Step 5: Solve for x
    x = 6,222,068,023.82/102,722.58
  6. Step 6: Final answer
    x = 60,571.57

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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.