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Finding the Fourth Proportional to 206,197.80, 309,292.38 and 111,473.16

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Solution

The fourth proportional to 206,197.80, 309,292.38 and 111,473.16 is: 167,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,197.80 : 309,292.38 = 111,473.16 : x
  2. Step 2: Convert to fraction form
    206,197.80/309,292.38 = 111,473.16/x
  3. Step 3: Cross multiply
    206,197.80x = 309,292.38 × 111,473.16
  4. Step 4: Simplify right side
    206,197.80x = 34,477,798,962.52
  5. Step 5: Solve for x
    x = 34,477,798,962.52/206,197.80
  6. Step 6: Final answer
    x = 167,207.40

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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.