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Finding the Fourth Proportional to 171,234.76, 256,503.98 and 139,757

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Solution

The fourth proportional to 171,234.76, 256,503.98 and 139,757 is: 209,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,234.76 : 256,503.98 = 139,757 : x
  2. Step 2: Convert to fraction form
    171,234.76/256,503.98 = 139,757/x
  3. Step 3: Cross multiply
    171,234.76x = 256,503.98 × 139,757
  4. Step 4: Simplify right side
    171,234.76x = 35,848,226,732.86
  5. Step 5: Solve for x
    x = 35,848,226,732.86/171,234.76
  6. Step 6: Final answer
    x = 209,351.34

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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.