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Finding the Fourth Proportional to 81,395.98, 122,281.68 and 78,033.01

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Solution

The fourth proportional to 81,395.98, 122,281.68 and 78,033.01 is: 117,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,395.98 : 122,281.68 = 78,033.01 : x
  2. Step 2: Convert to fraction form
    81,395.98/122,281.68 = 78,033.01/x
  3. Step 3: Cross multiply
    81,395.98x = 122,281.68 × 78,033.01
  4. Step 4: Simplify right side
    81,395.98x = 9,542,007,558.26
  5. Step 5: Solve for x
    x = 9,542,007,558.26/81,395.98
  6. Step 6: Final answer
    x = 117,229.47

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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.