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Finding the Fourth Proportional to 203,609.16, 280,975.28 and 111,728.16

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Solution

The fourth proportional to 203,609.16, 280,975.28 and 111,728.16 is: 154,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,609.16 : 280,975.28 = 111,728.16 : x
  2. Step 2: Convert to fraction form
    203,609.16/280,975.28 = 111,728.16/x
  3. Step 3: Cross multiply
    203,609.16x = 280,975.28 × 111,728.16
  4. Step 4: Simplify right side
    203,609.16x = 31,392,851,109.71
  5. Step 5: Solve for x
    x = 31,392,851,109.71/203,609.16
  6. Step 6: Final answer
    x = 154,181.92

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1.5x scale

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.