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Finding the Fourth Proportional to 65,383.60, 97,944.12 and 55,345.36

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Solution

The fourth proportional to 65,383.60, 97,944.12 and 55,345.36 is: 82,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,383.60 : 97,944.12 = 55,345.36 : x
  2. Step 2: Convert to fraction form
    65,383.60/97,944.12 = 55,345.36/x
  3. Step 3: Cross multiply
    65,383.60x = 97,944.12 × 55,345.36
  4. Step 4: Simplify right side
    65,383.60x = 5,420,752,581.28
  5. Step 5: Solve for x
    x = 5,420,752,581.28/65,383.60
  6. Step 6: Final answer
    x = 82,906.92

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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.