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Finding the Fourth Proportional to 255,409.35, 383,135.99 and 65,868

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Solution

The fourth proportional to 255,409.35, 383,135.99 and 65,868 is: 98,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,409.35 : 383,135.99 = 65,868 : x
  2. Step 2: Convert to fraction form
    255,409.35/383,135.99 = 65,868/x
  3. Step 3: Cross multiply
    255,409.35x = 383,135.99 × 65,868
  4. Step 4: Simplify right side
    255,409.35x = 25,236,401,059.98
  5. Step 5: Solve for x
    x = 25,236,401,059.98/255,409.35
  6. Step 6: Final answer
    x = 98,807.66

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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.