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Finding the Fourth Proportional to 99,489.32, 137,297.72 and 54,169.74

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Solution

The fourth proportional to 99,489.32, 137,297.72 and 54,169.74 is: 74,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,489.32 : 137,297.72 = 54,169.74 : x
  2. Step 2: Convert to fraction form
    99,489.32/137,297.72 = 54,169.74/x
  3. Step 3: Cross multiply
    99,489.32x = 137,297.72 × 54,169.74
  4. Step 4: Simplify right side
    99,489.32x = 7,437,381,524.14
  5. Step 5: Solve for x
    x = 7,437,381,524.14/99,489.32
  6. Step 6: Final answer
    x = 74,755.58

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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.