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Finding the Fourth Proportional to 110,641.80, 165,764.70 and 67,285.80

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Solution

The fourth proportional to 110,641.80, 165,764.70 and 67,285.80 is: 100,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,641.80 : 165,764.70 = 67,285.80 : x
  2. Step 2: Convert to fraction form
    110,641.80/165,764.70 = 67,285.80/x
  3. Step 3: Cross multiply
    110,641.80x = 165,764.70 × 67,285.80
  4. Step 4: Simplify right side
    110,641.80x = 11,153,610,451.26
  5. Step 5: Solve for x
    x = 11,153,610,451.26/110,641.80
  6. Step 6: Final answer
    x = 100,808.29

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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.