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Finding the Fourth Proportional to 131,476, 197,115.54 and 42,676.48

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Solution

The fourth proportional to 131,476, 197,115.54 and 42,676.48 is: 63,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,476 : 197,115.54 = 42,676.48 : x
  2. Step 2: Convert to fraction form
    131,476/197,115.54 = 42,676.48/x
  3. Step 3: Cross multiply
    131,476x = 197,115.54 × 42,676.48
  4. Step 4: Simplify right side
    131,476x = 8,412,197,400.50
  5. Step 5: Solve for x
    x = 8,412,197,400.50/131,476
  6. Step 6: Final answer
    x = 63,982.76

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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.