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Finding the Fourth Proportional to 203,539.80, 280,918.56 and 112,924.95

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Solution

The fourth proportional to 203,539.80, 280,918.56 and 112,924.95 is: 155,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,539.80 : 280,918.56 = 112,924.95 : x
  2. Step 2: Convert to fraction form
    203,539.80/280,918.56 = 112,924.95/x
  3. Step 3: Cross multiply
    203,539.80x = 280,918.56 × 112,924.95
  4. Step 4: Simplify right side
    203,539.80x = 31,722,713,154.33
  5. Step 5: Solve for x
    x = 31,722,713,154.33/203,539.80
  6. Step 6: Final answer
    x = 155,855.09

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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.