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Finding the Fourth Proportional to 203,574.47, 280,932.44 and 112,944.24

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Solution

The fourth proportional to 203,574.47, 280,932.44 and 112,944.24 is: 155,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,574.47 : 280,932.44 = 112,944.24 : x
  2. Step 2: Convert to fraction form
    203,574.47/280,932.44 = 112,944.24/x
  3. Step 3: Cross multiply
    203,574.47x = 280,932.44 × 112,944.24
  4. Step 4: Simplify right side
    203,574.47x = 31,729,700,362.42
  5. Step 5: Solve for x
    x = 31,729,700,362.42/203,574.47
  6. Step 6: Final answer
    x = 155,862.87

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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.