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Finding the Fourth Proportional to 171,111.67, 256,693.02 and 71,214.98

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Solution

The fourth proportional to 171,111.67, 256,693.02 and 71,214.98 is: 106,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,111.67 : 256,693.02 = 71,214.98 : x
  2. Step 2: Convert to fraction form
    171,111.67/256,693.02 = 71,214.98/x
  3. Step 3: Cross multiply
    171,111.67x = 256,693.02 × 71,214.98
  4. Step 4: Simplify right side
    171,111.67x = 18,280,388,285.44
  5. Step 5: Solve for x
    x = 18,280,388,285.44/171,111.67
  6. Step 6: Final answer
    x = 106,833.09

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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.