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Finding the Fourth Proportional to 171,229.76, 256,496.48 and 139,752

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Solution

The fourth proportional to 171,229.76, 256,496.48 and 139,752 is: 209,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,229.76 : 256,496.48 = 139,752 : x
  2. Step 2: Convert to fraction form
    171,229.76/256,496.48 = 139,752/x
  3. Step 3: Cross multiply
    171,229.76x = 256,496.48 × 139,752
  4. Step 4: Simplify right side
    171,229.76x = 35,845,896,072.96
  5. Step 5: Solve for x
    x = 35,845,896,072.96/171,229.76
  6. Step 6: Final answer
    x = 209,343.84

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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.