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Finding the Fourth Proportional to 99,550, 137,379 and 54,838

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Solution

The fourth proportional to 99,550, 137,379 and 54,838 is: 75,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,550 : 137,379 = 54,838 : x
  2. Step 2: Convert to fraction form
    99,550/137,379 = 54,838/x
  3. Step 3: Cross multiply
    99,550x = 137,379 × 54,838
  4. Step 4: Simplify right side
    99,550x = 7,533,589,602
  5. Step 5: Solve for x
    x = 7,533,589,602/99,550
  6. Step 6: Final answer
    x = 75,676.44

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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.