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Finding the Fourth Proportional to 82,874, 114,336.13 and 54,210

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Solution

The fourth proportional to 82,874, 114,336.13 and 54,210 is: 74,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,874 : 114,336.13 = 54,210 : x
  2. Step 2: Convert to fraction form
    82,874/114,336.13 = 54,210/x
  3. Step 3: Cross multiply
    82,874x = 114,336.13 × 54,210
  4. Step 4: Simplify right side
    82,874x = 6,198,161,607.30
  5. Step 5: Solve for x
    x = 6,198,161,607.30/82,874
  6. Step 6: Final answer
    x = 74,790.18

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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.