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Finding the Fourth Proportional to 209,161.80, 313,742.70 and 194,727.60

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Solution

The fourth proportional to 209,161.80, 313,742.70 and 194,727.60 is: 292,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,161.80 : 313,742.70 = 194,727.60 : x
  2. Step 2: Convert to fraction form
    209,161.80/313,742.70 = 194,727.60/x
  3. Step 3: Cross multiply
    209,161.80x = 313,742.70 × 194,727.60
  4. Step 4: Simplify right side
    209,161.80x = 61,094,362,988.52
  5. Step 5: Solve for x
    x = 61,094,362,988.52/209,161.80
  6. Step 6: Final answer
    x = 292,091.40

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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.