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Finding the Fourth Proportional to 203,428.52, 280,760.42 and 112,804.64

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Solution

The fourth proportional to 203,428.52, 280,760.42 and 112,804.64 is: 155,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,428.52 : 280,760.42 = 112,804.64 : x
  2. Step 2: Convert to fraction form
    203,428.52/280,760.42 = 112,804.64/x
  3. Step 3: Cross multiply
    203,428.52x = 280,760.42 × 112,804.64
  4. Step 4: Simplify right side
    203,428.52x = 31,671,078,104.35
  5. Step 5: Solve for x
    x = 31,671,078,104.35/203,428.52
  6. Step 6: Final answer
    x = 155,686.52

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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.