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Finding the Fourth Proportional to 202,374.91, 279,270.14 and 111,729.03

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Solution

The fourth proportional to 202,374.91, 279,270.14 and 111,729.03 is: 154,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,374.91 : 279,270.14 = 111,729.03 : x
  2. Step 2: Convert to fraction form
    202,374.91/279,270.14 = 111,729.03/x
  3. Step 3: Cross multiply
    202,374.91x = 279,270.14 × 111,729.03
  4. Step 4: Simplify right side
    202,374.91x = 31,202,581,850.16
  5. Step 5: Solve for x
    x = 31,202,581,850.16/202,374.91
  6. Step 6: Final answer
    x = 154,182.07

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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.