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Finding the Fourth Proportional to 54,124, 81,186.16 and 21,292

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Solution

The fourth proportional to 54,124, 81,186.16 and 21,292 is: 31,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,124 : 81,186.16 = 21,292 : x
  2. Step 2: Convert to fraction form
    54,124/81,186.16 = 21,292/x
  3. Step 3: Cross multiply
    54,124x = 81,186.16 × 21,292
  4. Step 4: Simplify right side
    54,124x = 1,728,615,718.72
  5. Step 5: Solve for x
    x = 1,728,615,718.72/54,124
  6. Step 6: Final answer
    x = 31,938.06

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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.