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Finding the Fourth Proportional to 100,705.95, 151,099.83 and 50,800.50

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Solution

The fourth proportional to 100,705.95, 151,099.83 and 50,800.50 is: 76,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,705.95 : 151,099.83 = 50,800.50 : x
  2. Step 2: Convert to fraction form
    100,705.95/151,099.83 = 50,800.50/x
  3. Step 3: Cross multiply
    100,705.95x = 151,099.83 × 50,800.50
  4. Step 4: Simplify right side
    100,705.95x = 7,675,946,913.92
  5. Step 5: Solve for x
    x = 7,675,946,913.92/100,705.95
  6. Step 6: Final answer
    x = 76,221.38

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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.