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Finding the Fourth Proportional to 53,397, 73,687.86 and 29,845

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Solution

The fourth proportional to 53,397, 73,687.86 and 29,845 is: 41,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,397 : 73,687.86 = 29,845 : x
  2. Step 2: Convert to fraction form
    53,397/73,687.86 = 29,845/x
  3. Step 3: Cross multiply
    53,397x = 73,687.86 × 29,845
  4. Step 4: Simplify right side
    53,397x = 2,199,214,181.70
  5. Step 5: Solve for x
    x = 2,199,214,181.70/53,397
  6. Step 6: Final answer
    x = 41,186.10

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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.