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Finding the Fourth Proportional to 171,788.31, 257,782.95 and 71,940.12

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Solution

The fourth proportional to 171,788.31, 257,782.95 and 71,940.12 is: 107,952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,788.31 : 257,782.95 = 71,940.12 : x
  2. Step 2: Convert to fraction form
    171,788.31/257,782.95 = 71,940.12/x
  3. Step 3: Cross multiply
    171,788.31x = 257,782.95 × 71,940.12
  4. Step 4: Simplify right side
    171,788.31x = 18,544,936,356.95
  5. Step 5: Solve for x
    x = 18,544,936,356.95/171,788.31
  6. Step 6: Final answer
    x = 107,952.26

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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.