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Finding the Fourth Proportional to 81,712.71, 122,511.87 and 41,744.07

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Solution

The fourth proportional to 81,712.71, 122,511.87 and 41,744.07 is: 62,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712.71 : 122,511.87 = 41,744.07 : x
  2. Step 2: Convert to fraction form
    81,712.71/122,511.87 = 41,744.07/x
  3. Step 3: Cross multiply
    81,712.71x = 122,511.87 × 41,744.07
  4. Step 4: Simplify right side
    81,712.71x = 5,114,144,077.11
  5. Step 5: Solve for x
    x = 5,114,144,077.11/81,712.71
  6. Step 6: Final answer
    x = 62,586.89

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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.