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Finding the Fourth Proportional to 209,757.67, 314,356.24 and 76,512.67

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Solution

The fourth proportional to 209,757.67, 314,356.24 and 76,512.67 is: 114,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,757.67 : 314,356.24 = 76,512.67 : x
  2. Step 2: Convert to fraction form
    209,757.67/314,356.24 = 76,512.67/x
  3. Step 3: Cross multiply
    209,757.67x = 314,356.24 × 76,512.67
  4. Step 4: Simplify right side
    209,757.67x = 24,052,235,253.56
  5. Step 5: Solve for x
    x = 24,052,235,253.56/209,757.67
  6. Step 6: Final answer
    x = 114,666.77

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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.