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Finding the Fourth Proportional to 203,069.54, 280,226.84 and 112,419.12

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Solution

The fourth proportional to 203,069.54, 280,226.84 and 112,419.12 is: 155,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,069.54 : 280,226.84 = 112,419.12 : x
  2. Step 2: Convert to fraction form
    203,069.54/280,226.84 = 112,419.12/x
  3. Step 3: Cross multiply
    203,069.54x = 280,226.84 × 112,419.12
  4. Step 4: Simplify right side
    203,069.54x = 31,502,854,753.18
  5. Step 5: Solve for x
    x = 31,502,854,753.18/203,069.54
  6. Step 6: Final answer
    x = 155,133.33

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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.