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Finding the Fourth Proportional to 81,676.83, 122,483.52 and 31,750.32

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Solution

The fourth proportional to 81,676.83, 122,483.52 and 31,750.32 is: 47,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,676.83 : 122,483.52 = 31,750.32 : x
  2. Step 2: Convert to fraction form
    81,676.83/122,483.52 = 31,750.32/x
  3. Step 3: Cross multiply
    81,676.83x = 122,483.52 × 31,750.32
  4. Step 4: Simplify right side
    81,676.83x = 3,888,890,954.73
  5. Step 5: Solve for x
    x = 3,888,890,954.73/81,676.83
  6. Step 6: Final answer
    x = 47,613.15

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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.