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Finding the Fourth Proportional to 81,863.12, 122,853 and 35,129.36

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Solution

The fourth proportional to 81,863.12, 122,853 and 35,129.36 is: 52,719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,863.12 : 122,853 = 35,129.36 : x
  2. Step 2: Convert to fraction form
    81,863.12/122,853 = 35,129.36/x
  3. Step 3: Cross multiply
    81,863.12x = 122,853 × 35,129.36
  4. Step 4: Simplify right side
    81,863.12x = 4,315,747,264.08
  5. Step 5: Solve for x
    x = 4,315,747,264.08/81,863.12
  6. Step 6: Final answer
    x = 52,719.07

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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.