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Finding the Fourth Proportional to 168,546.30, 253,111.05 and 109,643.10

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Solution

The fourth proportional to 168,546.30, 253,111.05 and 109,643.10 is: 164,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,546.30 : 253,111.05 = 109,643.10 : x
  2. Step 2: Convert to fraction form
    168,546.30/253,111.05 = 109,643.10/x
  3. Step 3: Cross multiply
    168,546.30x = 253,111.05 × 109,643.10
  4. Step 4: Simplify right side
    168,546.30x = 27,751,880,166.26
  5. Step 5: Solve for x
    x = 27,751,880,166.26/168,546.30
  6. Step 6: Final answer
    x = 164,654.34

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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.