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Finding the Fourth Proportional to 81,728.78, 112,524.99 and 69,744.02

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Solution

The fourth proportional to 81,728.78, 112,524.99 and 69,744.02 is: 96,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,728.78 : 112,524.99 = 69,744.02 : x
  2. Step 2: Convert to fraction form
    81,728.78/112,524.99 = 69,744.02/x
  3. Step 3: Cross multiply
    81,728.78x = 112,524.99 × 69,744.02
  4. Step 4: Simplify right side
    81,728.78x = 7,847,945,153.06
  5. Step 5: Solve for x
    x = 7,847,945,153.06/81,728.78
  6. Step 6: Final answer
    x = 96,024.25

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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.