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Finding the Fourth Proportional to 99,086.21, 136,852.53 and 65,245.97

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Solution

The fourth proportional to 99,086.21, 136,852.53 and 65,245.97 is: 90,114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,086.21 : 136,852.53 = 65,245.97 : x
  2. Step 2: Convert to fraction form
    99,086.21/136,852.53 = 65,245.97/x
  3. Step 3: Cross multiply
    99,086.21x = 136,852.53 × 65,245.97
  4. Step 4: Simplify right side
    99,086.21x = 8,929,075,382.54
  5. Step 5: Solve for x
    x = 8,929,075,382.54/99,086.21
  6. Step 6: Final answer
    x = 90,114.21

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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.