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Finding the Fourth Proportional to 99,691,929.60, 149,691,859.20 and 54,342,297.60

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Solution

The fourth proportional to 99,691,929.60, 149,691,859.20 and 54,342,297.60 is: 81,597,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,691,929.60 : 149,691,859.20 = 54,342,297.60 : x
  2. Step 2: Convert to fraction form
    99,691,929.60/149,691,859.20 = 54,342,297.60/x
  3. Step 3: Cross multiply
    99,691,929.60x = 149,691,859.20 × 54,342,297.60
  4. Step 4: Simplify right side
    99,691,929.60x = 8,134,599,560,943,697
  5. Step 5: Solve for x
    x = 8,134,599,560,943,697/99,691,929.60
  6. Step 6: Final answer
    x = 81,597,372.96

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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.