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Finding the Fourth Proportional to 100,249.57, 138,351 and 57,810.84

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Solution

The fourth proportional to 100,249.57, 138,351 and 57,810.84 is: 79,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,249.57 : 138,351 = 57,810.84 : x
  2. Step 2: Convert to fraction form
    100,249.57/138,351 = 57,810.84/x
  3. Step 3: Cross multiply
    100,249.57x = 138,351 × 57,810.84
  4. Step 4: Simplify right side
    100,249.57x = 7,998,187,524.84
  5. Step 5: Solve for x
    x = 7,998,187,524.84/100,249.57
  6. Step 6: Final answer
    x = 79,782.76

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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.