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Finding the Fourth Proportional to 201,906.80, 302,750.85 and 83,590.10

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Solution

The fourth proportional to 201,906.80, 302,750.85 and 83,590.10 is: 125,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,906.80 : 302,750.85 = 83,590.10 : x
  2. Step 2: Convert to fraction form
    201,906.80/302,750.85 = 83,590.10/x
  3. Step 3: Cross multiply
    201,906.80x = 302,750.85 × 83,590.10
  4. Step 4: Simplify right side
    201,906.80x = 25,306,973,826.59
  5. Step 5: Solve for x
    x = 25,306,973,826.59/201,906.80
  6. Step 6: Final answer
    x = 125,339.88

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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.