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Finding the Fourth Proportional to 169,408.44, 254,019.84 and 78,124.76

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Solution

The fourth proportional to 169,408.44, 254,019.84 and 78,124.76 is: 117,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,408.44 : 254,019.84 = 78,124.76 : x
  2. Step 2: Convert to fraction form
    169,408.44/254,019.84 = 78,124.76/x
  3. Step 3: Cross multiply
    169,408.44x = 254,019.84 × 78,124.76
  4. Step 4: Simplify right side
    169,408.44x = 19,845,237,765.14
  5. Step 5: Solve for x
    x = 19,845,237,765.14/169,408.44
  6. Step 6: Final answer
    x = 117,144.33

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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.