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Finding the Fourth Proportional to 81,956.52, 122,857.02 and 29,338.92

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Solution

The fourth proportional to 81,956.52, 122,857.02 and 29,338.92 is: 43,980.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,956.52 : 122,857.02 = 29,338.92 : x
  2. Step 2: Convert to fraction form
    81,956.52/122,857.02 = 29,338.92/x
  3. Step 3: Cross multiply
    81,956.52x = 122,857.02 × 29,338.92
  4. Step 4: Simplify right side
    81,956.52x = 3,604,492,281.22
  5. Step 5: Solve for x
    x = 3,604,492,281.22/81,956.52
  6. Step 6: Final answer
    x = 43,980.54

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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.