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Finding the Fourth Proportional to 97,408.60, 134,454.49 and 57,138.64

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Solution

The fourth proportional to 97,408.60, 134,454.49 and 57,138.64 is: 78,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,408.60 : 134,454.49 = 57,138.64 : x
  2. Step 2: Convert to fraction form
    97,408.60/134,454.49 = 57,138.64/x
  3. Step 3: Cross multiply
    97,408.60x = 134,454.49 × 57,138.64
  4. Step 4: Simplify right side
    97,408.60x = 7,682,546,221.51
  5. Step 5: Solve for x
    x = 7,682,546,221.51/97,408.60
  6. Step 6: Final answer
    x = 78,869.28

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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.