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Finding the Fourth Proportional to 203,433.75, 305,150.67 and 78,774.75

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Solution

The fourth proportional to 203,433.75, 305,150.67 and 78,774.75 is: 118,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,433.75 : 305,150.67 = 78,774.75 : x
  2. Step 2: Convert to fraction form
    203,433.75/305,150.67 = 78,774.75/x
  3. Step 3: Cross multiply
    203,433.75x = 305,150.67 × 78,774.75
  4. Step 4: Simplify right side
    203,433.75x = 24,038,167,741.58
  5. Step 5: Solve for x
    x = 24,038,167,741.58/203,433.75
  6. Step 6: Final answer
    x = 118,162.14

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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.