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Finding the Fourth Proportional to 202,154.92, 278,968.98 and 111,508.96

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Solution

The fourth proportional to 202,154.92, 278,968.98 and 111,508.96 is: 153,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154.92 : 278,968.98 = 111,508.96 : x
  2. Step 2: Convert to fraction form
    202,154.92/278,968.98 = 111,508.96/x
  3. Step 3: Cross multiply
    202,154.92x = 278,968.98 × 111,508.96
  4. Step 4: Simplify right side
    202,154.92x = 31,107,540,832.06
  5. Step 5: Solve for x
    x = 31,107,540,832.06/202,154.92
  6. Step 6: Final answer
    x = 153,879.71

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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.