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Finding the Fourth Proportional to 213,236,500.80, 319,854,748.80 and 51,678,436.80

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Solution

The fourth proportional to 213,236,500.80, 319,854,748.80 and 51,678,436.80 is: 77,517,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,236,500.80 : 319,854,748.80 = 51,678,436.80 : x
  2. Step 2: Convert to fraction form
    213,236,500.80/319,854,748.80 = 51,678,436.80/x
  3. Step 3: Cross multiply
    213,236,500.80x = 319,854,748.80 × 51,678,436.80
  4. Step 4: Simplify right side
    213,236,500.80x = 16,529,593,421,040,676
  5. Step 5: Solve for x
    x = 16,529,593,421,040,676/213,236,500.80
  6. Step 6: Final answer
    x = 77,517,654.62

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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.