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Finding the Fourth Proportional to 191,834, 264,765.12 and 120,275.36

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Solution

The fourth proportional to 191,834, 264,765.12 and 120,275.36 is: 166,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,834 : 264,765.12 = 120,275.36 : x
  2. Step 2: Convert to fraction form
    191,834/264,765.12 = 120,275.36/x
  3. Step 3: Cross multiply
    191,834x = 264,765.12 × 120,275.36
  4. Step 4: Simplify right side
    191,834x = 31,844,720,123.44
  5. Step 5: Solve for x
    x = 31,844,720,123.44/191,834
  6. Step 6: Final answer
    x = 166,001.44

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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.