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Finding the Fourth Proportional to 255,690.60, 383,535.77 and 78,197.64

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Solution

The fourth proportional to 255,690.60, 383,535.77 and 78,197.64 is: 117,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,690.60 : 383,535.77 = 78,197.64 : x
  2. Step 2: Convert to fraction form
    255,690.60/383,535.77 = 78,197.64/x
  3. Step 3: Cross multiply
    255,690.60x = 383,535.77 × 78,197.64
  4. Step 4: Simplify right side
    255,690.60x = 29,991,591,678.59
  5. Step 5: Solve for x
    x = 29,991,591,678.59/255,690.60
  6. Step 6: Final answer
    x = 117,296.42

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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.