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Finding the Fourth Proportional to 255,786.66, 383,614.52 and 75,830.00

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Solution

The fourth proportional to 255,786.66, 383,614.52 and 75,830.00 is: 113,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,786.66 : 383,614.52 = 75,830.00 : x
  2. Step 2: Convert to fraction form
    255,786.66/383,614.52 = 75,830.00/x
  3. Step 3: Cross multiply
    255,786.66x = 383,614.52 × 75,830.00
  4. Step 4: Simplify right side
    255,786.66x = 29,089,490,777.31
  5. Step 5: Solve for x
    x = 29,089,490,777.31/255,786.66
  6. Step 6: Final answer
    x = 113,725.60

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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.