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Finding the Fourth Proportional to 203,287.50, 280,536.75 and 123,799.50

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Solution

The fourth proportional to 203,287.50, 280,536.75 and 123,799.50 is: 170,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,287.50 : 280,536.75 = 123,799.50 : x
  2. Step 2: Convert to fraction form
    203,287.50/280,536.75 = 123,799.50/x
  3. Step 3: Cross multiply
    203,287.50x = 280,536.75 × 123,799.50
  4. Step 4: Simplify right side
    203,287.50x = 34,730,309,381.63
  5. Step 5: Solve for x
    x = 34,730,309,381.63/203,287.50
  6. Step 6: Final answer
    x = 170,843.31

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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.