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Finding the Fourth Proportional to 135,806.70, 203,710.05 and 100,814.70

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Solution

The fourth proportional to 135,806.70, 203,710.05 and 100,814.70 is: 151,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,806.70 : 203,710.05 = 100,814.70 : x
  2. Step 2: Convert to fraction form
    135,806.70/203,710.05 = 100,814.70/x
  3. Step 3: Cross multiply
    135,806.70x = 203,710.05 × 100,814.70
  4. Step 4: Simplify right side
    135,806.70x = 20,536,967,577.74
  5. Step 5: Solve for x
    x = 20,536,967,577.74/135,806.70
  6. Step 6: Final answer
    x = 151,222.05

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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.