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Finding the Fourth Proportional to 65,408.90, 97,894.65 and 45,725.90

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Solution

The fourth proportional to 65,408.90, 97,894.65 and 45,725.90 is: 68,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.90 : 97,894.65 = 45,725.90 : x
  2. Step 2: Convert to fraction form
    65,408.90/97,894.65 = 45,725.90/x
  3. Step 3: Cross multiply
    65,408.90x = 97,894.65 × 45,725.90
  4. Step 4: Simplify right side
    65,408.90x = 4,476,320,976.44
  5. Step 5: Solve for x
    x = 4,476,320,976.44/65,408.90
  6. Step 6: Final answer
    x = 68,435.96

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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.