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Finding the Fourth Proportional to 84,652.81, 116,554.89 and 71,879.11

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Solution

The fourth proportional to 84,652.81, 116,554.89 and 71,879.11 is: 98,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,652.81 : 116,554.89 = 71,879.11 : x
  2. Step 2: Convert to fraction form
    84,652.81/116,554.89 = 71,879.11/x
  3. Step 3: Cross multiply
    84,652.81x = 116,554.89 × 71,879.11
  4. Step 4: Simplify right side
    84,652.81x = 8,377,861,759.35
  5. Step 5: Solve for x
    x = 8,377,861,759.35/84,652.81
  6. Step 6: Final answer
    x = 98,967.32

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Why These Related Problems?

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