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Finding the Fourth Proportional to 81,691.60, 122,537.40 and 32,443.60

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Solution

The fourth proportional to 81,691.60, 122,537.40 and 32,443.60 is: 48,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,691.60 : 122,537.40 = 32,443.60 : x
  2. Step 2: Convert to fraction form
    81,691.60/122,537.40 = 32,443.60/x
  3. Step 3: Cross multiply
    81,691.60x = 122,537.40 × 32,443.60
  4. Step 4: Simplify right side
    81,691.60x = 3,975,554,390.64
  5. Step 5: Solve for x
    x = 3,975,554,390.64/81,691.60
  6. Step 6: Final answer
    x = 48,665.40

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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.