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Finding the Fourth Proportional to 209,989.72, 314,673.42 and 172,813.96

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Solution

The fourth proportional to 209,989.72, 314,673.42 and 172,813.96 is: 258,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,989.72 : 314,673.42 = 172,813.96 : x
  2. Step 2: Convert to fraction form
    209,989.72/314,673.42 = 172,813.96/x
  3. Step 3: Cross multiply
    209,989.72x = 314,673.42 × 172,813.96
  4. Step 4: Simplify right side
    209,989.72x = 54,379,959,816.94
  5. Step 5: Solve for x
    x = 54,379,959,816.94/209,989.72
  6. Step 6: Final answer
    x = 258,964.87

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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.