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Finding the Fourth Proportional to 218,535.72, 301,578.57 and 123,072.90

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Solution

The fourth proportional to 218,535.72, 301,578.57 and 123,072.90 is: 169,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,535.72 : 301,578.57 = 123,072.90 : x
  2. Step 2: Convert to fraction form
    218,535.72/301,578.57 = 123,072.90/x
  3. Step 3: Cross multiply
    218,535.72x = 301,578.57 × 123,072.90
  4. Step 4: Simplify right side
    218,535.72x = 37,116,149,187.75
  5. Step 5: Solve for x
    x = 37,116,149,187.75/218,535.72
  6. Step 6: Final answer
    x = 169,840.19

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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.