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Finding the Fourth Proportional to 81,859.77, 122,855.27 and 42,428.16

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Solution

The fourth proportional to 81,859.77, 122,855.27 and 42,428.16 is: 63,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,859.77 : 122,855.27 = 42,428.16 : x
  2. Step 2: Convert to fraction form
    81,859.77/122,855.27 = 42,428.16/x
  3. Step 3: Cross multiply
    81,859.77x = 122,855.27 × 42,428.16
  4. Step 4: Simplify right side
    81,859.77x = 5,212,522,840.26
  5. Step 5: Solve for x
    x = 5,212,522,840.26/81,859.77
  6. Step 6: Final answer
    x = 63,676.25

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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.