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Finding the Fourth Proportional to 194,699.76, 268,679.64 and 109,815.60

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Solution

The fourth proportional to 194,699.76, 268,679.64 and 109,815.60 is: 151,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,699.76 : 268,679.64 = 109,815.60 : x
  2. Step 2: Convert to fraction form
    194,699.76/268,679.64 = 109,815.60/x
  3. Step 3: Cross multiply
    194,699.76x = 268,679.64 × 109,815.60
  4. Step 4: Simplify right side
    194,699.76x = 29,505,215,874.38
  5. Step 5: Solve for x
    x = 29,505,215,874.38/194,699.76
  6. Step 6: Final answer
    x = 151,542.13

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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.