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Finding the Fourth Proportional to 82,992, 114,489.48 and 56,143.92

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Solution

The fourth proportional to 82,992, 114,489.48 and 56,143.92 is: 77,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992 : 114,489.48 = 56,143.92 : x
  2. Step 2: Convert to fraction form
    82,992/114,489.48 = 56,143.92/x
  3. Step 3: Cross multiply
    82,992x = 114,489.48 × 56,143.92
  4. Step 4: Simplify right side
    82,992x = 6,427,888,205.96
  5. Step 5: Solve for x
    x = 6,427,888,205.96/82,992
  6. Step 6: Final answer
    x = 77,451.90

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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.