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Finding the Fourth Proportional to 203,421.74, 280,738.56 and 112,806.08

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Solution

The fourth proportional to 203,421.74, 280,738.56 and 112,806.08 is: 155,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,421.74 : 280,738.56 = 112,806.08 : x
  2. Step 2: Convert to fraction form
    203,421.74/280,738.56 = 112,806.08/x
  3. Step 3: Cross multiply
    203,421.74x = 280,738.56 × 112,806.08
  4. Step 4: Simplify right side
    203,421.74x = 31,669,016,458.44
  5. Step 5: Solve for x
    x = 31,669,016,458.44/203,421.74
  6. Step 6: Final answer
    x = 155,681.57

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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.