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Finding the Fourth Proportional to 203,428.75, 305,143.17 and 78,769.75

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Solution

The fourth proportional to 203,428.75, 305,143.17 and 78,769.75 is: 118,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,428.75 : 305,143.17 = 78,769.75 : x
  2. Step 2: Convert to fraction form
    203,428.75/305,143.17 = 78,769.75/x
  3. Step 3: Cross multiply
    203,428.75x = 305,143.17 × 78,769.75
  4. Step 4: Simplify right side
    203,428.75x = 24,036,051,215.11
  5. Step 5: Solve for x
    x = 24,036,051,215.11/203,428.75
  6. Step 6: Final answer
    x = 118,154.64

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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.