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Finding the Fourth Proportional to 255,693.95, 383,651.64 and 137,226.89

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Solution

The fourth proportional to 255,693.95, 383,651.64 and 137,226.89 is: 205,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,693.95 : 383,651.64 = 137,226.89 : x
  2. Step 2: Convert to fraction form
    255,693.95/383,651.64 = 137,226.89/x
  3. Step 3: Cross multiply
    255,693.95x = 383,651.64 × 137,226.89
  4. Step 4: Simplify right side
    255,693.95x = 52,647,321,400.60
  5. Step 5: Solve for x
    x = 52,647,321,400.60/255,693.95
  6. Step 6: Final answer
    x = 205,899.75

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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.