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Finding the Fourth Proportional to 53,903.10, 80,745.30 and 30,502.20

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Solution

The fourth proportional to 53,903.10, 80,745.30 and 30,502.20 is: 45,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,903.10 : 80,745.30 = 30,502.20 : x
  2. Step 2: Convert to fraction form
    53,903.10/80,745.30 = 30,502.20/x
  3. Step 3: Cross multiply
    53,903.10x = 80,745.30 × 30,502.20
  4. Step 4: Simplify right side
    53,903.10x = 2,462,909,289.66
  5. Step 5: Solve for x
    x = 2,462,909,289.66/53,903.10
  6. Step 6: Final answer
    x = 45,691.42

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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.