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Finding the Fourth Proportional to 53,658.42, 80,469.41 and 18,589.89

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Solution

The fourth proportional to 53,658.42, 80,469.41 and 18,589.89 is: 27,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658.42 : 80,469.41 = 18,589.89 : x
  2. Step 2: Convert to fraction form
    53,658.42/80,469.41 = 18,589.89/x
  3. Step 3: Cross multiply
    53,658.42x = 80,469.41 × 18,589.89
  4. Step 4: Simplify right side
    53,658.42x = 1,495,917,387.32
  5. Step 5: Solve for x
    x = 1,495,917,387.32/53,658.42
  6. Step 6: Final answer
    x = 27,878.52

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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.