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Finding the Fourth Proportional to 135,809.20, 203,713.80 and 100,817.20

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Solution

The fourth proportional to 135,809.20, 203,713.80 and 100,817.20 is: 151,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,809.20 : 203,713.80 = 100,817.20 : x
  2. Step 2: Convert to fraction form
    135,809.20/203,713.80 = 100,817.20/x
  3. Step 3: Cross multiply
    135,809.20x = 203,713.80 × 100,817.20
  4. Step 4: Simplify right side
    135,809.20x = 20,537,854,917.36
  5. Step 5: Solve for x
    x = 20,537,854,917.36/135,809.20
  6. Step 6: Final answer
    x = 151,225.80

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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.