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Finding the Fourth Proportional to 255,816.60, 383,835.44 and 137,349.60

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Solution

The fourth proportional to 255,816.60, 383,835.44 and 137,349.60 is: 206,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,816.60 : 383,835.44 = 137,349.60 : x
  2. Step 2: Convert to fraction form
    255,816.60/383,835.44 = 137,349.60/x
  3. Step 3: Cross multiply
    255,816.60x = 383,835.44 × 137,349.60
  4. Step 4: Simplify right side
    255,816.60x = 52,719,644,149.82
  5. Step 5: Solve for x
    x = 52,719,644,149.82/255,816.60
  6. Step 6: Final answer
    x = 206,083.75

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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.