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Finding the Fourth Proportional to 191,991, 264,946.82 and 107,107.96

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Solution

The fourth proportional to 191,991, 264,946.82 and 107,107.96 is: 147,808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,991 : 264,946.82 = 107,107.96 : x
  2. Step 2: Convert to fraction form
    191,991/264,946.82 = 107,107.96/x
  3. Step 3: Cross multiply
    191,991x = 264,946.82 × 107,107.96
  4. Step 4: Simplify right side
    191,991x = 28,377,913,398.69
  5. Step 5: Solve for x
    x = 28,377,913,398.69/191,991
  6. Step 6: Final answer
    x = 147,808.56

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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.