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Finding the Fourth Proportional to 53,838, 80,760.24 and 16,902

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Solution

The fourth proportional to 53,838, 80,760.24 and 16,902 is: 25,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838 : 80,760.24 = 16,902 : x
  2. Step 2: Convert to fraction form
    53,838/80,760.24 = 16,902/x
  3. Step 3: Cross multiply
    53,838x = 80,760.24 × 16,902
  4. Step 4: Simplify right side
    53,838x = 1,365,009,576.48
  5. Step 5: Solve for x
    x = 1,365,009,576.48/53,838
  6. Step 6: Final answer
    x = 25,354.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.