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Finding the Fourth Proportional to 171,418.95, 257,294.28 and 82,734.89

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Solution

The fourth proportional to 171,418.95, 257,294.28 and 82,734.89 is: 124,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,418.95 : 257,294.28 = 82,734.89 : x
  2. Step 2: Convert to fraction form
    171,418.95/257,294.28 = 82,734.89/x
  3. Step 3: Cross multiply
    171,418.95x = 257,294.28 × 82,734.89
  4. Step 4: Simplify right side
    171,418.95x = 21,287,213,953.43
  5. Step 5: Solve for x
    x = 21,287,213,953.43/171,418.95
  6. Step 6: Final answer
    x = 124,182.38

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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.