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Finding the Fourth Proportional to 53,318.94, 79,978.80 and 20,046.54

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Solution

The fourth proportional to 53,318.94, 79,978.80 and 20,046.54 is: 30,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,318.94 : 79,978.80 = 20,046.54 : x
  2. Step 2: Convert to fraction form
    53,318.94/79,978.80 = 20,046.54/x
  3. Step 3: Cross multiply
    53,318.94x = 79,978.80 × 20,046.54
  4. Step 4: Simplify right side
    53,318.94x = 1,603,298,213.35
  5. Step 5: Solve for x
    x = 1,603,298,213.35/53,318.94
  6. Step 6: Final answer
    x = 30,069.96

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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.