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Finding the Fourth Proportional to 255,998.87, 383,983.92 and 78,505.39

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Solution

The fourth proportional to 255,998.87, 383,983.92 and 78,505.39 is: 117,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,998.87 : 383,983.92 = 78,505.39 : x
  2. Step 2: Convert to fraction form
    255,998.87/383,983.92 = 78,505.39/x
  3. Step 3: Cross multiply
    255,998.87x = 383,983.92 × 78,505.39
  4. Step 4: Simplify right side
    255,998.87x = 30,144,807,393.33
  5. Step 5: Solve for x
    x = 30,144,807,393.33/255,998.87
  6. Step 6: Final answer
    x = 117,753.67

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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.