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Finding the Fourth Proportional to 203,086.49, 280,260.47 and 112,445.33

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Solution

The fourth proportional to 203,086.49, 280,260.47 and 112,445.33 is: 155,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,086.49 : 280,260.47 = 112,445.33 : x
  2. Step 2: Convert to fraction form
    203,086.49/280,260.47 = 112,445.33/x
  3. Step 3: Cross multiply
    203,086.49x = 280,260.47 × 112,445.33
  4. Step 4: Simplify right side
    203,086.49x = 31,513,979,914.92
  5. Step 5: Solve for x
    x = 31,513,979,914.92/203,086.49
  6. Step 6: Final answer
    x = 155,175.17

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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.