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Finding the Fourth Proportional to 171,425.26, 256,968.40 and 81,309.93

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Solution

The fourth proportional to 171,425.26, 256,968.40 and 81,309.93 is: 121,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,425.26 : 256,968.40 = 81,309.93 : x
  2. Step 2: Convert to fraction form
    171,425.26/256,968.40 = 81,309.93/x
  3. Step 3: Cross multiply
    171,425.26x = 256,968.40 × 81,309.93
  4. Step 4: Simplify right side
    171,425.26x = 20,894,081,601.76
  5. Step 5: Solve for x
    x = 20,894,081,601.76/171,425.26
  6. Step 6: Final answer
    x = 121,884.50

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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.