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Finding the Fourth Proportional to 81,041.83, 111,703.88 and 54,174.54

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Solution

The fourth proportional to 81,041.83, 111,703.88 and 54,174.54 is: 74,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,041.83 : 111,703.88 = 54,174.54 : x
  2. Step 2: Convert to fraction form
    81,041.83/111,703.88 = 54,174.54/x
  3. Step 3: Cross multiply
    81,041.83x = 111,703.88 × 54,174.54
  4. Step 4: Simplify right side
    81,041.83x = 6,051,505,936.47
  5. Step 5: Solve for x
    x = 6,051,505,936.47/81,041.83
  6. Step 6: Final answer
    x = 74,671.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.