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Finding the Fourth Proportional to 61,255.36, 84,537.84 and 36,100

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Solution

The fourth proportional to 61,255.36, 84,537.84 and 36,100 is: 49,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,255.36 : 84,537.84 = 36,100 : x
  2. Step 2: Convert to fraction form
    61,255.36/84,537.84 = 36,100/x
  3. Step 3: Cross multiply
    61,255.36x = 84,537.84 × 36,100
  4. Step 4: Simplify right side
    61,255.36x = 3,051,816,024
  5. Step 5: Solve for x
    x = 3,051,816,024/61,255.36
  6. Step 6: Final answer
    x = 49,821.21

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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.