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Finding the Fourth Proportional to 268,829.60, 403,071.60 and 111,120.80

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Solution

The fourth proportional to 268,829.60, 403,071.60 and 111,120.80 is: 166,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,829.60 : 403,071.60 = 111,120.80 : x
  2. Step 2: Convert to fraction form
    268,829.60/403,071.60 = 111,120.80/x
  3. Step 3: Cross multiply
    268,829.60x = 403,071.60 × 111,120.80
  4. Step 4: Simplify right side
    268,829.60x = 44,789,638,649.28
  5. Step 5: Solve for x
    x = 44,789,638,649.28/268,829.60
  6. Step 6: Final answer
    x = 166,609.77

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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.