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Finding the Fourth Proportional to 209,321.60, 288,871.44 and 119,914.88

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Solution

The fourth proportional to 209,321.60, 288,871.44 and 119,914.88 is: 165,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,321.60 : 288,871.44 = 119,914.88 : x
  2. Step 2: Convert to fraction form
    209,321.60/288,871.44 = 119,914.88/x
  3. Step 3: Cross multiply
    209,321.60x = 288,871.44 × 119,914.88
  4. Step 4: Simplify right side
    209,321.60x = 34,639,984,063.03
  5. Step 5: Solve for x
    x = 34,639,984,063.03/209,321.60
  6. Step 6: Final answer
    x = 165,486.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.