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Finding the Fourth Proportional to 99,754.33, 137,664.29 and 54,434.80

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Solution

The fourth proportional to 99,754.33, 137,664.29 and 54,434.80 is: 75,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,754.33 : 137,664.29 = 54,434.80 : x
  2. Step 2: Convert to fraction form
    99,754.33/137,664.29 = 54,434.80/x
  3. Step 3: Cross multiply
    99,754.33x = 137,664.29 × 54,434.80
  4. Step 4: Simplify right side
    99,754.33x = 7,493,727,885.22
  5. Step 5: Solve for x
    x = 7,493,727,885.22/99,754.33
  6. Step 6: Final answer
    x = 75,121.83

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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.