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Finding the Fourth Proportional to 109,699.30, 164,439.60 and 50,431.60

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Solution

The fourth proportional to 109,699.30, 164,439.60 and 50,431.60 is: 75,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,699.30 : 164,439.60 = 50,431.60 : x
  2. Step 2: Convert to fraction form
    109,699.30/164,439.60 = 50,431.60/x
  3. Step 3: Cross multiply
    109,699.30x = 164,439.60 × 50,431.60
  4. Step 4: Simplify right side
    109,699.30x = 8,292,952,131.36
  5. Step 5: Solve for x
    x = 8,292,952,131.36/109,699.30
  6. Step 6: Final answer
    x = 75,597.13

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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.