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Finding the Fourth Proportional to 171,233.76, 256,502.48 and 139,756

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Solution

The fourth proportional to 171,233.76, 256,502.48 and 139,756 is: 209,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,233.76 : 256,502.48 = 139,756 : x
  2. Step 2: Convert to fraction form
    171,233.76/256,502.48 = 139,756/x
  3. Step 3: Cross multiply
    171,233.76x = 256,502.48 × 139,756
  4. Step 4: Simplify right side
    171,233.76x = 35,847,760,594.88
  5. Step 5: Solve for x
    x = 35,847,760,594.88/171,233.76
  6. Step 6: Final answer
    x = 209,349.84

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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.