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Finding the Fourth Proportional to 45,509.44, 68,264 and 20,558.24

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Solution

The fourth proportional to 45,509.44, 68,264 and 20,558.24 is: 30,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,509.44 : 68,264 = 20,558.24 : x
  2. Step 2: Convert to fraction form
    45,509.44/68,264 = 20,558.24/x
  3. Step 3: Cross multiply
    45,509.44x = 68,264 × 20,558.24
  4. Step 4: Simplify right side
    45,509.44x = 1,403,387,695.36
  5. Step 5: Solve for x
    x = 1,403,387,695.36/45,509.44
  6. Step 6: Final answer
    x = 30,837.29

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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.