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Finding the Fourth Proportional to 81,765.69, 122,648.64 and 37,380.54

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Solution

The fourth proportional to 81,765.69, 122,648.64 and 37,380.54 is: 56,070.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,765.69 : 122,648.64 = 37,380.54 : x
  2. Step 2: Convert to fraction form
    81,765.69/122,648.64 = 37,380.54/x
  3. Step 3: Cross multiply
    81,765.69x = 122,648.64 × 37,380.54
  4. Step 4: Simplify right side
    81,765.69x = 4,584,672,393.47
  5. Step 5: Solve for x
    x = 4,584,672,393.47/81,765.69
  6. Step 6: Final answer
    x = 56,070.86

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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.