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Finding the Fourth Proportional to 73,552, 109,991.58 and 54,844.78

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Solution

The fourth proportional to 73,552, 109,991.58 and 54,844.78 is: 82,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,552 : 109,991.58 = 54,844.78 : x
  2. Step 2: Convert to fraction form
    73,552/109,991.58 = 54,844.78/x
  3. Step 3: Cross multiply
    73,552x = 109,991.58 × 54,844.78
  4. Step 4: Simplify right side
    73,552x = 6,032,464,006.95
  5. Step 5: Solve for x
    x = 6,032,464,006.95/73,552
  6. Step 6: Final answer
    x = 82,016.32

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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.