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Finding the Fourth Proportional to 203,132.67, 280,322.83 and 112,488.52

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Solution

The fourth proportional to 203,132.67, 280,322.83 and 112,488.52 is: 155,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,132.67 : 280,322.83 = 112,488.52 : x
  2. Step 2: Convert to fraction form
    203,132.67/280,322.83 = 112,488.52/x
  3. Step 3: Cross multiply
    203,132.67x = 280,322.83 × 112,488.52
  4. Step 4: Simplify right side
    203,132.67x = 31,533,100,706.35
  5. Step 5: Solve for x
    x = 31,533,100,706.35/203,132.67
  6. Step 6: Final answer
    x = 155,234.02

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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.