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Finding the Fourth Proportional to 209,872.80, 314,809.20 and 121,080.60

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Solution

The fourth proportional to 209,872.80, 314,809.20 and 121,080.60 is: 181,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.80 : 314,809.20 = 121,080.60 : x
  2. Step 2: Convert to fraction form
    209,872.80/314,809.20 = 121,080.60/x
  3. Step 3: Cross multiply
    209,872.80x = 314,809.20 × 121,080.60
  4. Step 4: Simplify right side
    209,872.80x = 38,117,286,821.52
  5. Step 5: Solve for x
    x = 38,117,286,821.52/209,872.80
  6. Step 6: Final answer
    x = 181,620.90

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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.