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Finding the Fourth Proportional to 99,907, 149,857.05 and 25,027.80

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Solution

The fourth proportional to 99,907, 149,857.05 and 25,027.80 is: 37,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,907 : 149,857.05 = 25,027.80 : x
  2. Step 2: Convert to fraction form
    99,907/149,857.05 = 25,027.80/x
  3. Step 3: Cross multiply
    99,907x = 149,857.05 × 25,027.80
  4. Step 4: Simplify right side
    99,907x = 3,750,592,275.99
  5. Step 5: Solve for x
    x = 3,750,592,275.99/99,907
  6. Step 6: Final answer
    x = 37,540.84

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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.