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Finding the Fourth Proportional to 53,906.10, 80,749.80 and 30,505.20

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Solution

The fourth proportional to 53,906.10, 80,749.80 and 30,505.20 is: 45,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906.10 : 80,749.80 = 30,505.20 : x
  2. Step 2: Convert to fraction form
    53,906.10/80,749.80 = 30,505.20/x
  3. Step 3: Cross multiply
    53,906.10x = 80,749.80 × 30,505.20
  4. Step 4: Simplify right side
    53,906.10x = 2,463,288,798.96
  5. Step 5: Solve for x
    x = 2,463,288,798.96/53,906.10
  6. Step 6: Final answer
    x = 45,695.92

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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.