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Finding the Fourth Proportional to 82,785.43, 124,163.43 and 35,427.16

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Solution

The fourth proportional to 82,785.43, 124,163.43 and 35,427.16 is: 53,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,785.43 : 124,163.43 = 35,427.16 : x
  2. Step 2: Convert to fraction form
    82,785.43/124,163.43 = 35,427.16/x
  3. Step 3: Cross multiply
    82,785.43x = 124,163.43 × 35,427.16
  4. Step 4: Simplify right side
    82,785.43x = 4,398,757,700.76
  5. Step 5: Solve for x
    x = 4,398,757,700.76/82,785.43
  6. Step 6: Final answer
    x = 53,134.44

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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.