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Finding the Fourth Proportional to 81,483.90, 122,297.85 and 48,162.30

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Solution

The fourth proportional to 81,483.90, 122,297.85 and 48,162.30 is: 72,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,483.90 : 122,297.85 = 48,162.30 : x
  2. Step 2: Convert to fraction form
    81,483.90/122,297.85 = 48,162.30/x
  3. Step 3: Cross multiply
    81,483.90x = 122,297.85 × 48,162.30
  4. Step 4: Simplify right side
    81,483.90x = 5,890,145,741.06
  5. Step 5: Solve for x
    x = 5,890,145,741.06/81,483.90
  6. Step 6: Final answer
    x = 72,286.01

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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.