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Finding the Fourth Proportional to 81,491.76, 122,143.04 and 30,858.59

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Solution

The fourth proportional to 81,491.76, 122,143.04 and 30,858.59 is: 46,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,491.76 : 122,143.04 = 30,858.59 : x
  2. Step 2: Convert to fraction form
    81,491.76/122,143.04 = 30,858.59/x
  3. Step 3: Cross multiply
    81,491.76x = 122,143.04 × 30,858.59
  4. Step 4: Simplify right side
    81,491.76x = 3,769,161,992.71
  5. Step 5: Solve for x
    x = 3,769,161,992.71/81,491.76
  6. Step 6: Final answer
    x = 46,252.06

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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.