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Finding the Fourth Proportional to 53,429.76, 73,728 and 31,069.44

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Solution

The fourth proportional to 53,429.76, 73,728 and 31,069.44 is: 42,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,429.76 : 73,728 = 31,069.44 : x
  2. Step 2: Convert to fraction form
    53,429.76/73,728 = 31,069.44/x
  3. Step 3: Cross multiply
    53,429.76x = 73,728 × 31,069.44
  4. Step 4: Simplify right side
    53,429.76x = 2,290,687,672.32
  5. Step 5: Solve for x
    x = 2,290,687,672.32/53,429.76
  6. Step 6: Final answer
    x = 42,872.88

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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.