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Finding the Fourth Proportional to 202,537.89, 279,507.94 and 111,899.70

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Solution

The fourth proportional to 202,537.89, 279,507.94 and 111,899.70 is: 154,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,537.89 : 279,507.94 = 111,899.70 : x
  2. Step 2: Convert to fraction form
    202,537.89/279,507.94 = 111,899.70/x
  3. Step 3: Cross multiply
    202,537.89x = 279,507.94 × 111,899.70
  4. Step 4: Simplify right side
    202,537.89x = 31,276,854,353.87
  5. Step 5: Solve for x
    x = 31,276,854,353.87/202,537.89
  6. Step 6: Final answer
    x = 154,424.71

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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.