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Finding the Fourth Proportional to 55,672.70, 76,828.36 and 30,179.30

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Solution

The fourth proportional to 55,672.70, 76,828.36 and 30,179.30 is: 41,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,672.70 : 76,828.36 = 30,179.30 : x
  2. Step 2: Convert to fraction form
    55,672.70/76,828.36 = 30,179.30/x
  3. Step 3: Cross multiply
    55,672.70x = 76,828.36 × 30,179.30
  4. Step 4: Simplify right side
    55,672.70x = 2,318,626,124.95
  5. Step 5: Solve for x
    x = 2,318,626,124.95/55,672.70
  6. Step 6: Final answer
    x = 41,647.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.