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Finding the Fourth Proportional to 185,625.78, 256,163.76 and 100,742.82

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Solution

The fourth proportional to 185,625.78, 256,163.76 and 100,742.82 is: 139,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,625.78 : 256,163.76 = 100,742.82 : x
  2. Step 2: Convert to fraction form
    185,625.78/256,163.76 = 100,742.82/x
  3. Step 3: Cross multiply
    185,625.78x = 256,163.76 × 100,742.82
  4. Step 4: Simplify right side
    185,625.78x = 25,806,659,564.20
  5. Step 5: Solve for x
    x = 25,806,659,564.20/185,625.78
  6. Step 6: Final answer
    x = 139,025.19

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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.