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Finding the Fourth Proportional to 82,808.16, 124,249.16 and 30,205.34

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Solution

The fourth proportional to 82,808.16, 124,249.16 and 30,205.34 is: 45,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,808.16 : 124,249.16 = 30,205.34 : x
  2. Step 2: Convert to fraction form
    82,808.16/124,249.16 = 30,205.34/x
  3. Step 3: Cross multiply
    82,808.16x = 124,249.16 × 30,205.34
  4. Step 4: Simplify right side
    82,808.16x = 3,752,988,122.51
  5. Step 5: Solve for x
    x = 3,752,988,122.51/82,808.16
  6. Step 6: Final answer
    x = 45,321.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.