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Finding the Fourth Proportional to 203,221.92, 280,450.88 and 118,308

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Solution

The fourth proportional to 203,221.92, 280,450.88 and 118,308 is: 163,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,221.92 : 280,450.88 = 118,308 : x
  2. Step 2: Convert to fraction form
    203,221.92/280,450.88 = 118,308/x
  3. Step 3: Cross multiply
    203,221.92x = 280,450.88 × 118,308
  4. Step 4: Simplify right side
    203,221.92x = 33,179,582,711.04
  5. Step 5: Solve for x
    x = 33,179,582,711.04/203,221.92
  6. Step 6: Final answer
    x = 163,267.74

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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.