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Finding the Fourth Proportional to 206,842.08, 285,454.25 and 155,764.69

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Solution

The fourth proportional to 206,842.08, 285,454.25 and 155,764.69 is: 214,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842.08 : 285,454.25 = 155,764.69 : x
  2. Step 2: Convert to fraction form
    206,842.08/285,454.25 = 155,764.69/x
  3. Step 3: Cross multiply
    206,842.08x = 285,454.25 × 155,764.69
  4. Step 4: Simplify right side
    206,842.08x = 44,463,693,149.84
  5. Step 5: Solve for x
    x = 44,463,693,149.84/206,842.08
  6. Step 6: Final answer
    x = 214,964.45

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1.5x scale

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.