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Finding the Fourth Proportional to 202,561.67, 279,540.74 and 111,923.47

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Solution

The fourth proportional to 202,561.67, 279,540.74 and 111,923.47 is: 154,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,561.67 : 279,540.74 = 111,923.47 : x
  2. Step 2: Convert to fraction form
    202,561.67/279,540.74 = 111,923.47/x
  3. Step 3: Cross multiply
    202,561.67x = 279,540.74 × 111,923.47
  4. Step 4: Simplify right side
    202,561.67x = 31,287,169,627.17
  5. Step 5: Solve for x
    x = 31,287,169,627.17/202,561.67
  6. Step 6: Final answer
    x = 154,457.50

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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.