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Finding the Fourth Proportional to 255,902.16, 383,839.38 and 78,409.68

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Solution

The fourth proportional to 255,902.16, 383,839.38 and 78,409.68 is: 117,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902.16 : 383,839.38 = 78,409.68 : x
  2. Step 2: Convert to fraction form
    255,902.16/383,839.38 = 78,409.68/x
  3. Step 3: Cross multiply
    255,902.16x = 383,839.38 × 78,409.68
  4. Step 4: Simplify right side
    255,902.16x = 30,096,723,153.22
  5. Step 5: Solve for x
    x = 30,096,723,153.22/255,902.16
  6. Step 6: Final answer
    x = 117,610.28

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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.