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Finding the Fourth Proportional to 178,978.75, 268,469.75 and 54,319.75

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Solution

The fourth proportional to 178,978.75, 268,469.75 and 54,319.75 is: 81,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,978.75 : 268,469.75 = 54,319.75 : x
  2. Step 2: Convert to fraction form
    178,978.75/268,469.75 = 54,319.75/x
  3. Step 3: Cross multiply
    178,978.75x = 268,469.75 × 54,319.75
  4. Step 4: Simplify right side
    178,978.75x = 14,583,209,702.56
  5. Step 5: Solve for x
    x = 14,583,209,702.56/178,978.75
  6. Step 6: Final answer
    x = 81,480.12

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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.