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Finding the Fourth Proportional to 110,959.20, 166,341.60 and 66,538.80

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Solution

The fourth proportional to 110,959.20, 166,341.60 and 66,538.80 is: 99,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,959.20 : 166,341.60 = 66,538.80 : x
  2. Step 2: Convert to fraction form
    110,959.20/166,341.60 = 66,538.80/x
  3. Step 3: Cross multiply
    110,959.20x = 166,341.60 × 66,538.80
  4. Step 4: Simplify right side
    110,959.20x = 11,068,170,454.08
  5. Step 5: Solve for x
    x = 11,068,170,454.08/110,959.20
  6. Step 6: Final answer
    x = 99,749.91

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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.