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Finding the Fourth Proportional to 81,051.20, 121,285.20 and 54,807.20

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Solution

The fourth proportional to 81,051.20, 121,285.20 and 54,807.20 is: 82,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,051.20 : 121,285.20 = 54,807.20 : x
  2. Step 2: Convert to fraction form
    81,051.20/121,285.20 = 54,807.20/x
  3. Step 3: Cross multiply
    81,051.20x = 121,285.20 × 54,807.20
  4. Step 4: Simplify right side
    81,051.20x = 6,647,302,213.44
  5. Step 5: Solve for x
    x = 6,647,302,213.44/81,051.20
  6. Step 6: Final answer
    x = 82,013.62

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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.