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Finding the Fourth Proportional to 140,676.84, 210,677.40 and 80,523

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Solution

The fourth proportional to 140,676.84, 210,677.40 and 80,523 is: 120,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,676.84 : 210,677.40 = 80,523 : x
  2. Step 2: Convert to fraction form
    140,676.84/210,677.40 = 80,523/x
  3. Step 3: Cross multiply
    140,676.84x = 210,677.40 × 80,523
  4. Step 4: Simplify right side
    140,676.84x = 16,964,376,280.20
  5. Step 5: Solve for x
    x = 16,964,376,280.20/140,676.84
  6. Step 6: Final answer
    x = 120,591.11

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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.