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Finding the Fourth Proportional to 99,798, 137,721.24 and 55,086

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Solution

The fourth proportional to 99,798, 137,721.24 and 55,086 is: 76,018.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,798 : 137,721.24 = 55,086 : x
  2. Step 2: Convert to fraction form
    99,798/137,721.24 = 55,086/x
  3. Step 3: Cross multiply
    99,798x = 137,721.24 × 55,086
  4. Step 4: Simplify right side
    99,798x = 7,586,512,226.64
  5. Step 5: Solve for x
    x = 7,586,512,226.64/99,798
  6. Step 6: Final answer
    x = 76,018.68

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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.