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Finding the Fourth Proportional to 55,422.96, 83,146.92 and 18,486

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Solution

The fourth proportional to 55,422.96, 83,146.92 and 18,486 is: 27,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,422.96 : 83,146.92 = 18,486 : x
  2. Step 2: Convert to fraction form
    55,422.96/83,146.92 = 18,486/x
  3. Step 3: Cross multiply
    55,422.96x = 83,146.92 × 18,486
  4. Step 4: Simplify right side
    55,422.96x = 1,537,053,963.12
  5. Step 5: Solve for x
    x = 1,537,053,963.12/55,422.96
  6. Step 6: Final answer
    x = 27,733.16

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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.