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Finding the Fourth Proportional to 81,638.44, 122,340.80 and 46,505.50

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Solution

The fourth proportional to 81,638.44, 122,340.80 and 46,505.50 is: 69,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638.44 : 122,340.80 = 46,505.50 : x
  2. Step 2: Convert to fraction form
    81,638.44/122,340.80 = 46,505.50/x
  3. Step 3: Cross multiply
    81,638.44x = 122,340.80 × 46,505.50
  4. Step 4: Simplify right side
    81,638.44x = 5,689,520,074.40
  5. Step 5: Solve for x
    x = 5,689,520,074.40/81,638.44
  6. Step 6: Final answer
    x = 69,691.68

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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.