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Finding the Fourth Proportional to 81,855.77, 122,317.70 and 61,459.56

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Solution

The fourth proportional to 81,855.77, 122,317.70 and 61,459.56 is: 91,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.77 : 122,317.70 = 61,459.56 : x
  2. Step 2: Convert to fraction form
    81,855.77/122,317.70 = 61,459.56/x
  3. Step 3: Cross multiply
    81,855.77x = 122,317.70 × 61,459.56
  4. Step 4: Simplify right side
    81,855.77x = 7,517,591,714.91
  5. Step 5: Solve for x
    x = 7,517,591,714.91/81,855.77
  6. Step 6: Final answer
    x = 91,839.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.