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Finding the Fourth Proportional to 76,375.80, 114,563.70 and 51,427.80

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Solution

The fourth proportional to 76,375.80, 114,563.70 and 51,427.80 is: 77,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,375.80 : 114,563.70 = 51,427.80 : x
  2. Step 2: Convert to fraction form
    76,375.80/114,563.70 = 51,427.80/x
  3. Step 3: Cross multiply
    76,375.80x = 114,563.70 × 51,427.80
  4. Step 4: Simplify right side
    76,375.80x = 5,891,759,050.86
  5. Step 5: Solve for x
    x = 5,891,759,050.86/76,375.80
  6. Step 6: Final answer
    x = 77,141.70

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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.