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Finding the Fourth Proportional to 140,658.19, 194,109.21 and 80,228.21

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Solution

The fourth proportional to 140,658.19, 194,109.21 and 80,228.21 is: 110,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658.19 : 194,109.21 = 80,228.21 : x
  2. Step 2: Convert to fraction form
    140,658.19/194,109.21 = 80,228.21/x
  3. Step 3: Cross multiply
    140,658.19x = 194,109.21 × 80,228.21
  4. Step 4: Simplify right side
    140,658.19x = 15,573,033,492.27
  5. Step 5: Solve for x
    x = 15,573,033,492.27/140,658.19
  6. Step 6: Final answer
    x = 110,715.44

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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.