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Finding the Fourth Proportional to 71,644.38, 98,866.26 and 39,813

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Solution

The fourth proportional to 71,644.38, 98,866.26 and 39,813 is: 54,940.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,644.38 : 98,866.26 = 39,813 : x
  2. Step 2: Convert to fraction form
    71,644.38/98,866.26 = 39,813/x
  3. Step 3: Cross multiply
    71,644.38x = 98,866.26 × 39,813
  4. Step 4: Simplify right side
    71,644.38x = 3,936,162,409.38
  5. Step 5: Solve for x
    x = 3,936,162,409.38/71,644.38
  6. Step 6: Final answer
    x = 54,940.28

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1.5x scale

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.