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Finding the Fourth Proportional to 209,791.80, 314,688 and 160,153.73

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Solution

The fourth proportional to 209,791.80, 314,688 and 160,153.73 is: 240,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,791.80 : 314,688 = 160,153.73 : x
  2. Step 2: Convert to fraction form
    209,791.80/314,688 = 160,153.73/x
  3. Step 3: Cross multiply
    209,791.80x = 314,688 × 160,153.73
  4. Step 4: Simplify right side
    209,791.80x = 50,398,456,986.24
  5. Step 5: Solve for x
    x = 50,398,456,986.24/209,791.80
  6. Step 6: Final answer
    x = 240,230.82

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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.