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Finding the Fourth Proportional to 65,191.52, 89,964.38 and 35,383.52

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Solution

The fourth proportional to 65,191.52, 89,964.38 and 35,383.52 is: 48,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191.52 : 89,964.38 = 35,383.52 : x
  2. Step 2: Convert to fraction form
    65,191.52/89,964.38 = 35,383.52/x
  3. Step 3: Cross multiply
    65,191.52x = 89,964.38 × 35,383.52
  4. Step 4: Simplify right side
    65,191.52x = 3,183,256,439.02
  5. Step 5: Solve for x
    x = 3,183,256,439.02/65,191.52
  6. Step 6: Final answer
    x = 48,829.30

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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.