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Finding the Fourth Proportional to 203,265.25, 280,348.09 and 138,786.35

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Solution

The fourth proportional to 203,265.25, 280,348.09 and 138,786.35 is: 191,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,265.25 : 280,348.09 = 138,786.35 : x
  2. Step 2: Convert to fraction form
    203,265.25/280,348.09 = 138,786.35/x
  3. Step 3: Cross multiply
    203,265.25x = 280,348.09 × 138,786.35
  4. Step 4: Simplify right side
    203,265.25x = 38,908,486,391.87
  5. Step 5: Solve for x
    x = 38,908,486,391.87/203,265.25
  6. Step 6: Final answer
    x = 191,417.31

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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.