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Finding the Fourth Proportional to 135,990.34, 203,759.70 and 83,289.04

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Solution

The fourth proportional to 135,990.34, 203,759.70 and 83,289.04 is: 124,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,990.34 : 203,759.70 = 83,289.04 : x
  2. Step 2: Convert to fraction form
    135,990.34/203,759.70 = 83,289.04/x
  3. Step 3: Cross multiply
    135,990.34x = 203,759.70 × 83,289.04
  4. Step 4: Simplify right side
    135,990.34x = 16,970,949,803.69
  5. Step 5: Solve for x
    x = 16,970,949,803.69/135,990.34
  6. Step 6: Final answer
    x = 124,795.26

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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.