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Finding the Fourth Proportional to 82,206.40, 113,448.32 and 51,980.80

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Solution

The fourth proportional to 82,206.40, 113,448.32 and 51,980.80 is: 71,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,206.40 : 113,448.32 = 51,980.80 : x
  2. Step 2: Convert to fraction form
    82,206.40/113,448.32 = 51,980.80/x
  3. Step 3: Cross multiply
    82,206.40x = 113,448.32 × 51,980.80
  4. Step 4: Simplify right side
    82,206.40x = 5,897,134,432.26
  5. Step 5: Solve for x
    x = 5,897,134,432.26/82,206.40
  6. Step 6: Final answer
    x = 71,735.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.