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Finding the Fourth Proportional to 149,547.56, 206,379 and 85,006.56

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Solution

The fourth proportional to 149,547.56, 206,379 and 85,006.56 is: 117,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,547.56 : 206,379 = 85,006.56 : x
  2. Step 2: Convert to fraction form
    149,547.56/206,379 = 85,006.56/x
  3. Step 3: Cross multiply
    149,547.56x = 206,379 × 85,006.56
  4. Step 4: Simplify right side
    149,547.56x = 17,543,568,846.24
  5. Step 5: Solve for x
    x = 17,543,568,846.24/149,547.56
  6. Step 6: Final answer
    x = 117,310.97

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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.