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Finding the Fourth Proportional to 108,195.66, 149,367.87 and 72,446.58

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Solution

The fourth proportional to 108,195.66, 149,367.87 and 72,446.58 is: 100,015.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,195.66 : 149,367.87 = 72,446.58 : x
  2. Step 2: Convert to fraction form
    108,195.66/149,367.87 = 72,446.58/x
  3. Step 3: Cross multiply
    108,195.66x = 149,367.87 × 72,446.58
  4. Step 4: Simplify right side
    108,195.66x = 10,821,191,343.38
  5. Step 5: Solve for x
    x = 10,821,191,343.38/108,195.66
  6. Step 6: Final answer
    x = 100,015.02

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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.