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Finding the Fourth Proportional to 99,810.71, 137,736.59 and 54,486.96

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Solution

The fourth proportional to 99,810.71, 137,736.59 and 54,486.96 is: 75,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,810.71 : 137,736.59 = 54,486.96 : x
  2. Step 2: Convert to fraction form
    99,810.71/137,736.59 = 54,486.96/x
  3. Step 3: Cross multiply
    99,810.71x = 137,736.59 × 54,486.96
  4. Step 4: Simplify right side
    99,810.71x = 7,504,848,206.08
  5. Step 5: Solve for x
    x = 7,504,848,206.08/99,810.71
  6. Step 6: Final answer
    x = 75,190.81

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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.