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Finding the Fourth Proportional to 202,538.41, 279,502.10 and 111,894.39

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Solution

The fourth proportional to 202,538.41, 279,502.10 and 111,894.39 is: 154,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.41 : 279,502.10 = 111,894.39 : x
  2. Step 2: Convert to fraction form
    202,538.41/279,502.10 = 111,894.39/x
  3. Step 3: Cross multiply
    202,538.41x = 279,502.10 × 111,894.39
  4. Step 4: Simplify right side
    202,538.41x = 31,274,716,983.22
  5. Step 5: Solve for x
    x = 31,274,716,983.22/202,538.41
  6. Step 6: Final answer
    x = 154,413.76

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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.