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Finding the Fourth Proportional to 255,409.58, 383,100.09 and 77,902.64

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Solution

The fourth proportional to 255,409.58, 383,100.09 and 77,902.64 is: 116,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,409.58 : 383,100.09 = 77,902.64 : x
  2. Step 2: Convert to fraction form
    255,409.58/383,100.09 = 77,902.64/x
  3. Step 3: Cross multiply
    255,409.58x = 383,100.09 × 77,902.64
  4. Step 4: Simplify right side
    255,409.58x = 29,844,508,395.24
  5. Step 5: Solve for x
    x = 29,844,508,395.24/255,409.58
  6. Step 6: Final answer
    x = 116,849.60

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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.