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Finding the Fourth Proportional to 203,113.24, 280,292.84 and 112,467.24

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Solution

The fourth proportional to 203,113.24, 280,292.84 and 112,467.24 is: 155,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,113.24 : 280,292.84 = 112,467.24 : x
  2. Step 2: Convert to fraction form
    203,113.24/280,292.84 = 112,467.24/x
  3. Step 3: Cross multiply
    203,113.24x = 280,292.84 × 112,467.24
  4. Step 4: Simplify right side
    203,113.24x = 31,523,762,106.56
  5. Step 5: Solve for x
    x = 31,523,762,106.56/203,113.24
  6. Step 6: Final answer
    x = 155,202.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.