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Finding the Fourth Proportional to 65,408.40, 97,893.90 and 45,725.40

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Solution

The fourth proportional to 65,408.40, 97,893.90 and 45,725.40 is: 68,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408.40 : 97,893.90 = 45,725.40 : x
  2. Step 2: Convert to fraction form
    65,408.40/97,893.90 = 45,725.40/x
  3. Step 3: Cross multiply
    65,408.40x = 97,893.90 × 45,725.40
  4. Step 4: Simplify right side
    65,408.40x = 4,476,237,735.06
  5. Step 5: Solve for x
    x = 4,476,237,735.06/65,408.40
  6. Step 6: Final answer
    x = 68,435.21

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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.