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Finding the Fourth Proportional to 203,416.14, 305,124.22 and 78,757.14

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Solution

The fourth proportional to 203,416.14, 305,124.22 and 78,757.14 is: 118,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,416.14 : 305,124.22 = 78,757.14 : x
  2. Step 2: Convert to fraction form
    203,416.14/305,124.22 = 78,757.14/x
  3. Step 3: Cross multiply
    203,416.14x = 305,124.22 × 78,757.14
  4. Step 4: Simplify right side
    203,416.14x = 24,030,710,911.93
  5. Step 5: Solve for x
    x = 24,030,710,911.93/203,416.14
  6. Step 6: Final answer
    x = 118,135.71

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1.5x scale

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.