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Finding the Fourth Proportional to 99,843.36, 149,723.40 and 40,638.84

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Solution

The fourth proportional to 99,843.36, 149,723.40 and 40,638.84 is: 60,941.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843.36 : 149,723.40 = 40,638.84 : x
  2. Step 2: Convert to fraction form
    99,843.36/149,723.40 = 40,638.84/x
  3. Step 3: Cross multiply
    99,843.36x = 149,723.40 × 40,638.84
  4. Step 4: Simplify right side
    99,843.36x = 6,084,585,296.86
  5. Step 5: Solve for x
    x = 6,084,585,296.86/99,843.36
  6. Step 6: Final answer
    x = 60,941.31

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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.