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Finding the Fourth Proportional to 126,459, 189,418.68 and 81,953.64

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Solution

The fourth proportional to 126,459, 189,418.68 and 81,953.64 is: 122,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,459 : 189,418.68 = 81,953.64 : x
  2. Step 2: Convert to fraction form
    126,459/189,418.68 = 81,953.64/x
  3. Step 3: Cross multiply
    126,459x = 189,418.68 × 81,953.64
  4. Step 4: Simplify right side
    126,459x = 15,523,550,310.00
  5. Step 5: Solve for x
    x = 15,523,550,310.00/126,459
  6. Step 6: Final answer
    x = 122,755.60

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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.