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Finding the Fourth Proportional to 99,857, 149,900.70 and 50,712.68

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Solution

The fourth proportional to 99,857, 149,900.70 and 50,712.68 is: 76,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,857 : 149,900.70 = 50,712.68 : x
  2. Step 2: Convert to fraction form
    99,857/149,900.70 = 50,712.68/x
  3. Step 3: Cross multiply
    99,857x = 149,900.70 × 50,712.68
  4. Step 4: Simplify right side
    99,857x = 7,601,866,230.88
  5. Step 5: Solve for x
    x = 7,601,866,230.88/99,857
  6. Step 6: Final answer
    x = 76,127.52

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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.