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Finding the Fourth Proportional to 82,194.48, 122,570.01 and 81,446.04

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Solution

The fourth proportional to 82,194.48, 122,570.01 and 81,446.04 is: 121,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.48 : 122,570.01 = 81,446.04 : x
  2. Step 2: Convert to fraction form
    82,194.48/122,570.01 = 81,446.04/x
  3. Step 3: Cross multiply
    82,194.48x = 122,570.01 × 81,446.04
  4. Step 4: Simplify right side
    82,194.48x = 9,982,841,937.26
  5. Step 5: Solve for x
    x = 9,982,841,937.26/82,194.48
  6. Step 6: Final answer
    x = 121,453.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.