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Finding the Fourth Proportional to 99,533.78, 137,356.62 and 54,821.78

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Solution

The fourth proportional to 99,533.78, 137,356.62 and 54,821.78 is: 75,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.78 : 137,356.62 = 54,821.78 : x
  2. Step 2: Convert to fraction form
    99,533.78/137,356.62 = 54,821.78/x
  3. Step 3: Cross multiply
    99,533.78x = 137,356.62 × 54,821.78
  4. Step 4: Simplify right side
    99,533.78x = 7,530,134,403.18
  5. Step 5: Solve for x
    x = 7,530,134,403.18/99,533.78
  6. Step 6: Final answer
    x = 75,654.06

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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.