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Finding the Fourth Proportional to 73,072.16, 100,839.84 and 39,538.16

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Solution

The fourth proportional to 73,072.16, 100,839.84 and 39,538.16 is: 54,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,072.16 : 100,839.84 = 39,538.16 : x
  2. Step 2: Convert to fraction form
    73,072.16/100,839.84 = 39,538.16/x
  3. Step 3: Cross multiply
    73,072.16x = 100,839.84 × 39,538.16
  4. Step 4: Simplify right side
    73,072.16x = 3,987,021,728.29
  5. Step 5: Solve for x
    x = 3,987,021,728.29/73,072.16
  6. Step 6: Final answer
    x = 54,562.80

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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.