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Finding the Fourth Proportional to 169,408.89, 254,253.06 and 85,193.01

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Solution

The fourth proportional to 169,408.89, 254,253.06 and 85,193.01 is: 127,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,408.89 : 254,253.06 = 85,193.01 : x
  2. Step 2: Convert to fraction form
    169,408.89/254,253.06 = 85,193.01/x
  3. Step 3: Cross multiply
    169,408.89x = 254,253.06 × 85,193.01
  4. Step 4: Simplify right side
    169,408.89x = 21,660,583,483.11
  5. Step 5: Solve for x
    x = 21,660,583,483.11/169,408.89
  6. Step 6: Final answer
    x = 127,859.78

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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.