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Finding the Fourth Proportional to 53,846, 80,782.08 and 16,910

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Solution

The fourth proportional to 53,846, 80,782.08 and 16,910 is: 25,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,846 : 80,782.08 = 16,910 : x
  2. Step 2: Convert to fraction form
    53,846/80,782.08 = 16,910/x
  3. Step 3: Cross multiply
    53,846x = 80,782.08 × 16,910
  4. Step 4: Simplify right side
    53,846x = 1,366,024,972.80
  5. Step 5: Solve for x
    x = 1,366,024,972.80/53,846
  6. Step 6: Final answer
    x = 25,369.11

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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.