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Finding the Fourth Proportional to 202,144.64, 278,960.92 and 111,503.04

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Solution

The fourth proportional to 202,144.64, 278,960.92 and 111,503.04 is: 153,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,144.64 : 278,960.92 = 111,503.04 : x
  2. Step 2: Convert to fraction form
    202,144.64/278,960.92 = 111,503.04/x
  3. Step 3: Cross multiply
    202,144.64x = 278,960.92 × 111,503.04
  4. Step 4: Simplify right side
    202,144.64x = 31,104,990,621.20
  5. Step 5: Solve for x
    x = 31,104,990,621.20/202,144.64
  6. Step 6: Final answer
    x = 153,874.92

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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.