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Finding the Fourth Proportional to 205,043.35, 307,638.86 and 71,944.35

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Solution

The fourth proportional to 205,043.35, 307,638.86 and 71,944.35 is: 107,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,043.35 : 307,638.86 = 71,944.35 : x
  2. Step 2: Convert to fraction form
    205,043.35/307,638.86 = 71,944.35/x
  3. Step 3: Cross multiply
    205,043.35x = 307,638.86 × 71,944.35
  4. Step 4: Simplify right side
    205,043.35x = 22,132,878,439.23
  5. Step 5: Solve for x
    x = 22,132,878,439.23/205,043.35
  6. Step 6: Final answer
    x = 107,942.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.