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Finding the Fourth Proportional to 206,089.65, 309,140.56 and 175,913.63

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Solution

The fourth proportional to 206,089.65, 309,140.56 and 175,913.63 is: 263,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,089.65 : 309,140.56 = 175,913.63 : x
  2. Step 2: Convert to fraction form
    206,089.65/309,140.56 = 175,913.63/x
  3. Step 3: Cross multiply
    206,089.65x = 309,140.56 × 175,913.63
  4. Step 4: Simplify right side
    206,089.65x = 54,382,035,664.56
  5. Step 5: Solve for x
    x = 54,382,035,664.56/206,089.65
  6. Step 6: Final answer
    x = 263,875.63

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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.