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Finding the Fourth Proportional to 81,708.64, 122,563.04 and 25,549.04

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Solution

The fourth proportional to 81,708.64, 122,563.04 and 25,549.04 is: 38,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,708.64 : 122,563.04 = 25,549.04 : x
  2. Step 2: Convert to fraction form
    81,708.64/122,563.04 = 25,549.04/x
  3. Step 3: Cross multiply
    81,708.64x = 122,563.04 × 25,549.04
  4. Step 4: Simplify right side
    81,708.64x = 3,131,368,011.48
  5. Step 5: Solve for x
    x = 3,131,368,011.48/81,708.64
  6. Step 6: Final answer
    x = 38,323.59

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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.