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Finding the Fourth Proportional to 76,811.56, 106,013.70 and 44,978.60

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Solution

The fourth proportional to 76,811.56, 106,013.70 and 44,978.60 is: 62,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,811.56 : 106,013.70 = 44,978.60 : x
  2. Step 2: Convert to fraction form
    76,811.56/106,013.70 = 44,978.60/x
  3. Step 3: Cross multiply
    76,811.56x = 106,013.70 × 44,978.60
  4. Step 4: Simplify right side
    76,811.56x = 4,768,347,806.82
  5. Step 5: Solve for x
    x = 4,768,347,806.82/76,811.56
  6. Step 6: Final answer
    x = 62,078.52

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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.