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Finding the Fourth Proportional to 81,963.42, 122,984 and 48,748.96

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Solution

The fourth proportional to 81,963.42, 122,984 and 48,748.96 is: 73,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,963.42 : 122,984 = 48,748.96 : x
  2. Step 2: Convert to fraction form
    81,963.42/122,984 = 48,748.96/x
  3. Step 3: Cross multiply
    81,963.42x = 122,984 × 48,748.96
  4. Step 4: Simplify right side
    81,963.42x = 5,995,342,096.64
  5. Step 5: Solve for x
    x = 5,995,342,096.64/81,963.42
  6. Step 6: Final answer
    x = 73,146.56

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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.