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Finding the Fourth Proportional to 99,965.88, 137,952.89 and 54,644.04

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Solution

The fourth proportional to 99,965.88, 137,952.89 and 54,644.04 is: 75,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,965.88 : 137,952.89 = 54,644.04 : x
  2. Step 2: Convert to fraction form
    99,965.88/137,952.89 = 54,644.04/x
  3. Step 3: Cross multiply
    99,965.88x = 137,952.89 × 54,644.04
  4. Step 4: Simplify right side
    99,965.88x = 7,538,303,239.28
  5. Step 5: Solve for x
    x = 7,538,303,239.28/99,965.88
  6. Step 6: Final answer
    x = 75,408.76

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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.