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Finding the Fourth Proportional to 209,812.65, 314,474.90 and 119,918.31

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Solution

The fourth proportional to 209,812.65, 314,474.90 and 119,918.31 is: 179,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,812.65 : 314,474.90 = 119,918.31 : x
  2. Step 2: Convert to fraction form
    209,812.65/314,474.90 = 119,918.31/x
  3. Step 3: Cross multiply
    209,812.65x = 314,474.90 × 119,918.31
  4. Step 4: Simplify right side
    209,812.65x = 37,711,297,945.83
  5. Step 5: Solve for x
    x = 37,711,297,945.83/209,812.65
  6. Step 6: Final answer
    x = 179,737.96

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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.