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Finding the Fourth Proportional to 255,654.50, 383,538 and 75,725.96

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Solution

The fourth proportional to 255,654.50, 383,538 and 75,725.96 is: 113,605.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,654.50 : 383,538 = 75,725.96 : x
  2. Step 2: Convert to fraction form
    255,654.50/383,538 = 75,725.96/x
  3. Step 3: Cross multiply
    255,654.50x = 383,538 × 75,725.96
  4. Step 4: Simplify right side
    255,654.50x = 29,043,783,246.48
  5. Step 5: Solve for x
    x = 29,043,783,246.48/255,654.50
  6. Step 6: Final answer
    x = 113,605.60

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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.