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Finding the Fourth Proportional to 99,791.50, 149,607.78 and 57,623.80

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Solution

The fourth proportional to 99,791.50, 149,607.78 and 57,623.80 is: 86,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,791.50 : 149,607.78 = 57,623.80 : x
  2. Step 2: Convert to fraction form
    99,791.50/149,607.78 = 57,623.80/x
  3. Step 3: Cross multiply
    99,791.50x = 149,607.78 × 57,623.80
  4. Step 4: Simplify right side
    99,791.50x = 8,620,968,793.16
  5. Step 5: Solve for x
    x = 8,620,968,793.16/99,791.50
  6. Step 6: Final answer
    x = 86,389.81

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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.