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Finding the Fourth Proportional to 53,321, 73,589.48 and 30,965

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Solution

The fourth proportional to 53,321, 73,589.48 and 30,965 is: 42,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,321 : 73,589.48 = 30,965 : x
  2. Step 2: Convert to fraction form
    53,321/73,589.48 = 30,965/x
  3. Step 3: Cross multiply
    53,321x = 73,589.48 × 30,965
  4. Step 4: Simplify right side
    53,321x = 2,278,698,248.20
  5. Step 5: Solve for x
    x = 2,278,698,248.20/53,321
  6. Step 6: Final answer
    x = 42,735.47

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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.