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Finding the Fourth Proportional to 108,546.34, 149,944.90 and 81,894.10

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Solution

The fourth proportional to 108,546.34, 149,944.90 and 81,894.10 is: 113,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,546.34 : 149,944.90 = 81,894.10 : x
  2. Step 2: Convert to fraction form
    108,546.34/149,944.90 = 81,894.10/x
  3. Step 3: Cross multiply
    108,546.34x = 149,944.90 × 81,894.10
  4. Step 4: Simplify right side
    108,546.34x = 12,279,602,635.09
  5. Step 5: Solve for x
    x = 12,279,602,635.09/108,546.34
  6. Step 6: Final answer
    x = 113,127.74

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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.