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Finding the Fourth Proportional to 185,672.76, 256,233.78 and 100,795.20

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Solution

The fourth proportional to 185,672.76, 256,233.78 and 100,795.20 is: 139,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,672.76 : 256,233.78 = 100,795.20 : x
  2. Step 2: Convert to fraction form
    185,672.76/256,233.78 = 100,795.20/x
  3. Step 3: Cross multiply
    185,672.76x = 256,233.78 × 100,795.20
  4. Step 4: Simplify right side
    185,672.76x = 25,827,135,101.86
  5. Step 5: Solve for x
    x = 25,827,135,101.86/185,672.76
  6. Step 6: Final answer
    x = 139,100.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.