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Finding the Fourth Proportional to 203,412.97, 280,726.47 and 112,797.35

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Solution

The fourth proportional to 203,412.97, 280,726.47 and 112,797.35 is: 155,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412.97 : 280,726.47 = 112,797.35 : x
  2. Step 2: Convert to fraction form
    203,412.97/280,726.47 = 112,797.35/x
  3. Step 3: Cross multiply
    203,412.97x = 280,726.47 × 112,797.35
  4. Step 4: Simplify right side
    203,412.97x = 31,665,200,487.22
  5. Step 5: Solve for x
    x = 31,665,200,487.22/203,412.97
  6. Step 6: Final answer
    x = 155,669.53

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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.