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Finding the Fourth Proportional to 110,563.30, 165,687.90 and 85,166.74

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Solution

The fourth proportional to 110,563.30, 165,687.90 and 85,166.74 is: 127,629.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,563.30 : 165,687.90 = 85,166.74 : x
  2. Step 2: Convert to fraction form
    110,563.30/165,687.90 = 85,166.74/x
  3. Step 3: Cross multiply
    110,563.30x = 165,687.90 × 85,166.74
  4. Step 4: Simplify right side
    110,563.30x = 14,111,098,300.45
  5. Step 5: Solve for x
    x = 14,111,098,300.45/110,563.30
  6. Step 6: Final answer
    x = 127,629.13

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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.