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Finding the Fourth Proportional to 140,789.63, 194,289.68 and 84,201

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Solution

The fourth proportional to 140,789.63, 194,289.68 and 84,201 is: 116,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,789.63 : 194,289.68 = 84,201 : x
  2. Step 2: Convert to fraction form
    140,789.63/194,289.68 = 84,201/x
  3. Step 3: Cross multiply
    140,789.63x = 194,289.68 × 84,201
  4. Step 4: Simplify right side
    140,789.63x = 16,359,385,556.18
  5. Step 5: Solve for x
    x = 16,359,385,556.18/140,789.63
  6. Step 6: Final answer
    x = 116,197.38

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1.5x scale

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.