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Finding the Fourth Proportional to 55,216, 82,828.32 and 18,280

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Solution

The fourth proportional to 55,216, 82,828.32 and 18,280 is: 27,421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,216 : 82,828.32 = 18,280 : x
  2. Step 2: Convert to fraction form
    55,216/82,828.32 = 18,280/x
  3. Step 3: Cross multiply
    55,216x = 82,828.32 × 18,280
  4. Step 4: Simplify right side
    55,216x = 1,514,101,689.60
  5. Step 5: Solve for x
    x = 1,514,101,689.60/55,216
  6. Step 6: Final answer
    x = 27,421.43

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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.