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Finding the Fourth Proportional to 203,419.22, 280,735.10 and 112,803.60

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Solution

The fourth proportional to 203,419.22, 280,735.10 and 112,803.60 is: 155,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,419.22 : 280,735.10 = 112,803.60 : x
  2. Step 2: Convert to fraction form
    203,419.22/280,735.10 = 112,803.60/x
  3. Step 3: Cross multiply
    203,419.22x = 280,735.10 × 112,803.60
  4. Step 4: Simplify right side
    203,419.22x = 31,667,929,926.36
  5. Step 5: Solve for x
    x = 31,667,929,926.36/203,419.22
  6. Step 6: Final answer
    x = 155,678.16

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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.