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Finding the Fourth Proportional to 81,735.83, 122,529.47 and 72,878.48

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Solution

The fourth proportional to 81,735.83, 122,529.47 and 72,878.48 is: 109,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,735.83 : 122,529.47 = 72,878.48 : x
  2. Step 2: Convert to fraction form
    81,735.83/122,529.47 = 72,878.48/x
  3. Step 3: Cross multiply
    81,735.83x = 122,529.47 × 72,878.48
  4. Step 4: Simplify right side
    81,735.83x = 8,929,760,551.77
  5. Step 5: Solve for x
    x = 8,929,760,551.77/81,735.83
  6. Step 6: Final answer
    x = 109,251.49

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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.