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Finding the Fourth Proportional to 206,145.60, 309,412.80 and 176,596.80

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Solution

The fourth proportional to 206,145.60, 309,412.80 and 176,596.80 is: 265,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,145.60 : 309,412.80 = 176,596.80 : x
  2. Step 2: Convert to fraction form
    206,145.60/309,412.80 = 176,596.80/x
  3. Step 3: Cross multiply
    206,145.60x = 309,412.80 × 176,596.80
  4. Step 4: Simplify right side
    206,145.60x = 54,641,310,359.04
  5. Step 5: Solve for x
    x = 54,641,310,359.04/206,145.60
  6. Step 6: Final answer
    x = 265,061.73

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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.