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Finding the Fourth Proportional to 203,538.31, 280,871.41 and 112,887.76

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Solution

The fourth proportional to 203,538.31, 280,871.41 and 112,887.76 is: 155,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,538.31 : 280,871.41 = 112,887.76 : x
  2. Step 2: Convert to fraction form
    203,538.31/280,871.41 = 112,887.76/x
  3. Step 3: Cross multiply
    203,538.31x = 280,871.41 × 112,887.76
  4. Step 4: Simplify right side
    203,538.31x = 31,706,944,322.94
  5. Step 5: Solve for x
    x = 31,706,944,322.94/203,538.31
  6. Step 6: Final answer
    x = 155,778.75

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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.