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Finding the Fourth Proportional to 55,305.78, 82,959.45 and 13,752.78

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Solution

The fourth proportional to 55,305.78, 82,959.45 and 13,752.78 is: 20,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,305.78 : 82,959.45 = 13,752.78 : x
  2. Step 2: Convert to fraction form
    55,305.78/82,959.45 = 13,752.78/x
  3. Step 3: Cross multiply
    55,305.78x = 82,959.45 × 13,752.78
  4. Step 4: Simplify right side
    55,305.78x = 1,140,923,064.77
  5. Step 5: Solve for x
    x = 1,140,923,064.77/55,305.78
  6. Step 6: Final answer
    x = 20,629.36

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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.