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Finding the Fourth Proportional to 81,005.72, 110,978.46 and 77,976.05

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Solution

The fourth proportional to 81,005.72, 110,978.46 and 77,976.05 is: 106,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,005.72 : 110,978.46 = 77,976.05 : x
  2. Step 2: Convert to fraction form
    81,005.72/110,978.46 = 77,976.05/x
  3. Step 3: Cross multiply
    81,005.72x = 110,978.46 × 77,976.05
  4. Step 4: Simplify right side
    81,005.72x = 8,653,661,390.99
  5. Step 5: Solve for x
    x = 8,653,661,390.99/81,005.72
  6. Step 6: Final answer
    x = 106,827.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.