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Finding the Fourth Proportional to 81,387.64, 122,083.08 and 53,485.57

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Solution

The fourth proportional to 81,387.64, 122,083.08 and 53,485.57 is: 80,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,387.64 : 122,083.08 = 53,485.57 : x
  2. Step 2: Convert to fraction form
    81,387.64/122,083.08 = 53,485.57/x
  3. Step 3: Cross multiply
    81,387.64x = 122,083.08 × 53,485.57
  4. Step 4: Simplify right side
    81,387.64x = 6,529,683,121.16
  5. Step 5: Solve for x
    x = 6,529,683,121.16/81,387.64
  6. Step 6: Final answer
    x = 80,229.42

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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.