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Finding the Fourth Proportional to 82,684.19, 113,982.19 and 64,514.68

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Solution

The fourth proportional to 82,684.19, 113,982.19 and 64,514.68 is: 88,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,684.19 : 113,982.19 = 64,514.68 : x
  2. Step 2: Convert to fraction form
    82,684.19/113,982.19 = 64,514.68/x
  3. Step 3: Cross multiply
    82,684.19x = 113,982.19 × 64,514.68
  4. Step 4: Simplify right side
    82,684.19x = 7,353,524,067.31
  5. Step 5: Solve for x
    x = 7,353,524,067.31/82,684.19
  6. Step 6: Final answer
    x = 88,935.07

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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.